Conditional probability and independence Unit 3 and 4 VCE Maths Methods
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=6jFSycWvBIA
As we continue to juggle face-to-face and online learning during the COVID-19 pandemic, I will continue to record my lessons here on YouTube. • My Year 12 VCE Mathematical Methods class are now commencing the fourth and final Area of Study: Probability and Statistics. Note that in 2020, this Area of Study has been cut down from what is usually in the Study Design. • In this video, we review the concept of conditional probability and also look at the concept of independence, with a particular focus on how independence is different to mutual exclusivity. These are ideas that students frequently confuse. • The class uses the Cambridge Senior Maths textbook for Unit 3 and 4 Mathematical Methods and the TI Nspire CAS CX / CXII calculator.","styleRuns":[{"startIndex":0,"length":740,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":740,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CIECELsvGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzZqRlN5Y1d2QklBGAYyJSIRIgs2akZTeWNXdkJJQTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CIECELsvGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CIACELovIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"ZnpE73zoOPQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/ZnpE73zoOPQ/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDfa0mcfxjWUKZi2cg6gGKqGAVUgQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ZnpE73zoOPQ/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLABp2amvYY1K235j8__Gf5fR1ckUg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Discrete random variables in a nutshell | Unit 3 and 4 VCE Maths Methods (2020 only) by LMKMaths 654 views 4 years ago 55 minutes"}},"simpleText":"Discrete random variables in a nutshell | Unit 3 and 4 VCE Maths Methods (2020 only)"},"longBylineText":{"runs":[{"text":"LMKMaths","navigationEndpoint":{"clickTrackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@LMKMaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCu57rWbMqYiLLvjFuBzpZBA","canonicalBaseUrl":"/@LMKMaths"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"654 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"55 minutes, 50 seconds"}},"simpleText":"55:50"},"navigationEndpoint":{"clickTrackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWRIgIm8rZzZ1JjqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=ZnpE73zoOPQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"ZnpE73zoOPQ","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=667a44ef7ce838f4 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1521250 mt=1739863758 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"LMKMaths","navigationEndpoint":{"clickTrackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@LMKMaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCu57rWbMqYiLLvjFuBzpZBA","canonicalBaseUrl":"/@LMKMaths"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_msr-i1WIGmofSJIjZtVeitNrByNlQscji0QFxd5fk3SeE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEJA9PGg5_edkb1m","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"654 views"}},"simpleText":"654 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CP4BEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CP4BEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZnpE73zoOPQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CP4BEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZnpE73zoOPQ"],"params":"CAQ%3D"}},"videoIds":["ZnpE73zoOPQ"]}},{"clickTrackingParams":"CP4BEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CP8BELlqIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},"popupType":"TOAST"}}]}},"trackingParams":"CP4BEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CP0BENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","offlineVideoEndpoint":{"videoId":"ZnpE73zoOPQ","onAddCommand":{"clickTrackingParams":"CP0BENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","getDownloadActionCommand":{"videoId":"ZnpE73zoOPQ","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CP0BENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtabnBFNzN6b09QUQ%3D%3D","commands":[{"clickTrackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CPwBEI5iIhMI9Z_agNzMiwMVB9JCBR3hmShC","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","hasSeparator":true}}],"trackingParams":"CPkBEKQwGAAiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"55 minutes, 50 seconds"}},"simpleText":"55:50"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPsBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"ZnpE73zoOPQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CPsBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"ZnpE73zoOPQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPsBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPoBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPoBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"ZnpE73zoOPQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPoBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["ZnpE73zoOPQ"],"params":"CAQ%3D"}},"videoIds":["ZnpE73zoOPQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPoBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Discrete random variables in a nutshell | Unit 3 and 4 VCE Maths Methods (2020 only) - 55 minutes - Go to channel - LMKMaths - 654 views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"6wi0gjfk60Y","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/6wi0gjfk60Y/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBGJK05h8pP1aTSfO-zsnG98oVwsg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/6wi0gjfk60Y/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCsmnapdUnYTyzmTjI4NDHe_2sw1g","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Probability of Dependent and Independent Events by Shane Jansen 52,665 views 4 years ago 14 minutes, 19 seconds"}},"simpleText":"Probability of Dependent and Independent Events"},"longBylineText":{"runs":[{"text":"Shane Jansen","navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@shanejansen9829","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCSgn-eMti5Qnc7bC6EZvZuQ","canonicalBaseUrl":"/@shanejansen9829"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"52,665 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"14 minutes, 19 seconds"}},"simpleText":"14:19"},"navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWRIgIm8rZzZ1JjqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=6wi0gjfk60Y","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"6wi0gjfk60Y","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=eb08b48237e4eb46 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1521250 mt=1739863758 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Shane Jansen","navigationEndpoint":{"clickTrackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@shanejansen9829","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCSgn-eMti5Qnc7bC6EZvZuQ","canonicalBaseUrl":"/@shanejansen9829"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kzsXZsHd2R0ZKdOdp93KzWj_wQJzsFfaXsOVmUoDjGrA=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEJAxtaTv6OQrYTrAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"52K views"}},"simpleText":"52K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPcBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPcBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"6wi0gjfk60Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPcBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["6wi0gjfk60Y"],"params":"CAQ%3D"}},"videoIds":["6wi0gjfk60Y"]}},{"clickTrackingParams":"CPcBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPgBELlqIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},"popupType":"TOAST"}}]}},"trackingParams":"CPcBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CPYBENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","offlineVideoEndpoint":{"videoId":"6wi0gjfk60Y","onAddCommand":{"clickTrackingParams":"CPYBENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","getDownloadActionCommand":{"videoId":"6wi0gjfk60Y","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CPYBENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs2d2kwZ2pmazYwWQ%3D%3D","commands":[{"clickTrackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CPUBEI5iIhMI9Z_agNzMiwMVB9JCBR3hmShC","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","hasSeparator":true}}],"trackingParams":"CPIBEKQwGAEiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"14 minutes, 19 seconds"}},"simpleText":"14:19"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPQBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"6wi0gjfk60Y","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CPQBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"6wi0gjfk60Y"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPQBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CPMBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPMBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"6wi0gjfk60Y","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPMBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["6wi0gjfk60Y"],"params":"CAQ%3D"}},"videoIds":["6wi0gjfk60Y"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CPMBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Probability of Dependent and Independent Events - 14 minutes, 19 seconds - Go to channel - Shane Jansen - 52K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"sqDVrXq_eh0","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/sqDVrXq_eh0/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDtmSC3kAYmij8_Fwk_8gWLzpZR9w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/sqDVrXq_eh0/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCH4NV_PGT1KG5cDkNgxUZTBYMJdA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Conditional Probability With Venn Diagrams Contingency Tables by The Organic Chemistry Tutor 1,177,818 views 5 years ago 16 minutes"}},"simpleText":"Conditional Probability With Venn Diagrams Contingency Tables"},"longBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"publishedTimeText":{"simpleText":"5 years ago"},"viewCountText":{"simpleText":"1,177,818 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"16 minutes, 26 seconds"}},"simpleText":"16:26"},"navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWRIgIm8rZzZ1JjqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=sqDVrXq_eh0","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"sqDVrXq_eh0","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=b2a0d5ad7abf7a1d ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1521250 mt=1739863758 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"The Organic Chemistry Tutor","navigationEndpoint":{"clickTrackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TheOrganicChemistryTutor","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCEWpbFLzoYGPfuWUMFPSaoA","canonicalBaseUrl":"/@TheOrganicChemistryTutor"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_lOQikQsmqQS3dG9VBvbJ03Eqqw7NshUvDNorj5UAZL6M0=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"Verified","trackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","accessibilityData":{"label":"Verified"}}}],"trackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEJAnfT91de1tdCyAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.1 million views"}},"simpleText":"1.1M views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CPABEP6YBBgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CPABEP6YBBgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"sqDVrXq_eh0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CPABEP6YBBgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["sqDVrXq_eh0"],"params":"CAQ%3D"}},"videoIds":["sqDVrXq_eh0"]}},{"clickTrackingParams":"CPABEP6YBBgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CPEBELlqIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},"popupType":"TOAST"}}]}},"trackingParams":"CPABEP6YBBgGIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CO8BENGqBRgHIhMI9Z_agNzMiwMVB9JCBR3hmShC","offlineVideoEndpoint":{"videoId":"sqDVrXq_eh0","onAddCommand":{"clickTrackingParams":"CO8BENGqBRgHIhMI9Z_agNzMiwMVB9JCBR3hmShC","getDownloadActionCommand":{"videoId":"sqDVrXq_eh0","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CO8BENGqBRgHIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtzcURWclhxX2VoMA%3D%3D","commands":[{"clickTrackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CO4BEI5iIhMI9Z_agNzMiwMVB9JCBR3hmShC","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","hasSeparator":true}}],"trackingParams":"COsBEKQwGAIiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"16 minutes, 26 seconds"}},"simpleText":"16:26"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CO0BEPnnAxgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"sqDVrXq_eh0","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CO0BEPnnAxgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"sqDVrXq_eh0"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CO0BEPnnAxgCIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COwBEMfsBBgDIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COwBEMfsBBgDIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"sqDVrXq_eh0","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COwBEMfsBBgDIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["sqDVrXq_eh0"],"params":"CAQ%3D"}},"videoIds":["sqDVrXq_eh0"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COwBEMfsBBgDIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Conditional Probability With Venn Diagrams Contingency Tables - 16 minutes - Go to channel - The Organic Chemistry Tutor - 1.1M views - 5 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"mw9MG9hLyQ4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/mw9MG9hLyQ4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLD35KTBSldnubQw11aiW7QIOCHb8g","width":168,"height":94},{"url":"https://i.ytimg.com/vi/mw9MG9hLyQ4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLBEStgj4q--SrIwhOh09c_62If2zg","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Sample spaces and probability | Unit 3 and 4 VCE Maths Methods by LMKMaths 8,435 views 4 years ago 44 minutes"}},"simpleText":"Sample spaces and probability | Unit 3 and 4 VCE Maths Methods"},"longBylineText":{"runs":[{"text":"LMKMaths","navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@LMKMaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCu57rWbMqYiLLvjFuBzpZBA","canonicalBaseUrl":"/@LMKMaths"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"8,435 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"44 minutes, 10 seconds"}},"simpleText":"44:10"},"navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWRIgIm8rZzZ1JjqAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=mw9MG9hLyQ4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"mw9MG9hLyQ4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=9b0f4c1bd84bc90e ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1521250 mt=1739863758 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"LMKMaths","navigationEndpoint":{"clickTrackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEIyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@LMKMaths","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCu57rWbMqYiLLvjFuBzpZBA","canonicalBaseUrl":"/@LMKMaths"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_msr-i1WIGmofSJIjZtVeitNrByNlQscji0QFxd5fk3SeE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEJAjpKvwr2D04ebAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"8.4K views"}},"simpleText":"8.4K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"COkBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COkBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"mw9MG9hLyQ4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COkBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["mw9MG9hLyQ4"],"params":"CAQ%3D"}},"videoIds":["mw9MG9hLyQ4"]}},{"clickTrackingParams":"COkBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"COoBELlqIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},"popupType":"TOAST"}}]}},"trackingParams":"COkBEP6YBBgFIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"COgBENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","offlineVideoEndpoint":{"videoId":"mw9MG9hLyQ4","onAddCommand":{"clickTrackingParams":"COgBENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC","getDownloadActionCommand":{"videoId":"mw9MG9hLyQ4","params":"CAIQAA%3D%3D"}}}},"trackingParams":"COgBENGqBRgGIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgttdzlNRzloTHlRNA%3D%3D","commands":[{"clickTrackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"COcBEI5iIhMI9Z_agNzMiwMVB9JCBR3hmShC","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","hasSeparator":true}}],"trackingParams":"COQBEKQwGAMiEwj1n9qA3MyLAxUH0kIFHeGZKEI=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"44 minutes, 10 seconds"}},"simpleText":"44:10"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COYBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"mw9MG9hLyQ4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"COYBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"mw9MG9hLyQ4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COYBEPnnAxgBIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"COUBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"COUBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"mw9MG9hLyQ4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"COUBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["mw9MG9hLyQ4"],"params":"CAQ%3D"}},"videoIds":["mw9MG9hLyQ4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"COUBEMfsBBgCIhMI9Z_agNzMiwMVB9JCBR3hmShC"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Sample spaces and probability | Unit 3 and 4 VCE Maths Methods - 44 minutes - Go to channel - LMKMaths - 8.4K views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/mw9MG9hLyQ4/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCuvKZaBAfHVRcbBIF0ugAvixhb3w","width":168,"height":94},{"url":"https://i.ytimg.com/vi/mw9MG9hLyQ4/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBy6o4Za7tavtn6xcuz7rQK_Bi4nA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"8 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3347496,"darkTheme":3347496}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":5841991,"darkTheme":5841991}}},"stackColor":{"lightTheme":10054537,"darkTheme":9664137}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"VCE Maths Methods (Units 3 and 4): Discrete Probability"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"LMKMaths
#############################
![](http://youtor.org/essay_main.png)