youtor.org
Lecture 7 Odds vs Probability
#############################
Video Source: www.youtube.com/watch?v=r9gwHUAsk8w
Though they are often used interchangeably, the concepts of odds and probabilities are distinct from each other. This video briefly explains this difference in order to avoid any confusion. • Section 2: Probabilistic Thinking (4/5) • This is the 7th of a total of 40 short videos, which are divided into 11 sections. • A course to learn the basic concepts and tools to help us make better decisions under uncertainty, take calculated risks, and reduce the stress and regrets that often come with decision making. • If you would like to learn more, please subscribe to this channel and read the textbook at www.probabilitycourse.com.","styleRuns":[{"startIndex":0,"length":630,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":630,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CNUBELsvGAIiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3I5Z3dIVUFzazh3GAYyJSIRIgtyOWd3SFVBc2s4dzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CNUBELsvGAIiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CNQBELovIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"bBm2gCn4-os","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/bBm2gCn4-os/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CYAC0AWKAgwIABABGHIgYChCMA8= rs=AOn4CLB1NcM-vzvYdpnFUozU7ZMOCZvHlA","width":168,"height":94},{"url":"https://i.ytimg.com/vi/bBm2gCn4-os/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_gmAAtAFigIMCAAQARhyIGAoQjAP rs=AOn4CLAcBzmEAHFE0cD9MPogc5eRuTn8jA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Lecture 8: Degree of Belief: Starting a Successful Business; Murder Trials by Probability Course 1,964 views 8 years ago 4 minutes, 30 seconds"}},"simpleText":"Lecture 8: Degree of Belief: Starting a Successful Business; Murder Trials"},"longBylineText":{"runs":[{"text":"Probability Course","navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@probabilitycourse3883","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCITVu6N08ljfYjuP98nXsLA","canonicalBaseUrl":"/@probabilitycourse3883"}}}]},"publishedTimeText":{"simpleText":"8 years ago"},"viewCountText":{"simpleText":"1,964 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 30 seconds"}},"simpleText":"4:30"},"navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQyB3JlbGF0ZWRIzKeygdSDjOyvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=bBm2gCn4-os","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"bBm2gCn4-os","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-5hne6nz6.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=6c19b68029f8fa8b ip=185.14.28.206 mt=1731643326 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Probability Course","navigationEndpoint":{"clickTrackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@probabilitycourse3883","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCITVu6N08ljfYjuP98nXsLA","canonicalBaseUrl":"/@probabilitycourse3883"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kiDJw0xbwdgTJ05eFKovcfRhOivlj-YK57k4G7xF_uZQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxRAi_Xjz4LQ7Yxs","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"1.9K views"}},"simpleText":"1.9K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CNIBEP6YBBgFIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CNIBEP6YBBgFIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"bBm2gCn4-os","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CNIBEP6YBBgFIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["bBm2gCn4-os"],"params":"CAQ%3D"}},"videoIds":["bBm2gCn4-os"]}},{"clickTrackingParams":"CNIBEP6YBBgFIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CNMBELlqIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},"popupType":"TOAST"}}]}},"trackingParams":"CNIBEP6YBBgFIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CNEBENGqBRgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","offlineVideoEndpoint":{"videoId":"bBm2gCn4-os","onAddCommand":{"clickTrackingParams":"CNEBENGqBRgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","getDownloadActionCommand":{"videoId":"bBm2gCn4-os","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CNEBENGqBRgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtiQm0yZ0NuNC1vcw%3D%3D","commands":[{"clickTrackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CNABEI5iIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","hasSeparator":true}}],"trackingParams":"CM0BEKQwGAAiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 30 seconds"}},"simpleText":"4:30"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CM8BEPnnAxgBIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"bBm2gCn4-os","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CM8BEPnnAxgBIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"bBm2gCn4-os"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CM8BEPnnAxgBIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CM4BEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CM4BEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"bBm2gCn4-os","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CM4BEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["bBm2gCn4-os"],"params":"CAQ%3D"}},"videoIds":["bBm2gCn4-os"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CM4BEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Lecture 8: Degree of Belief: Starting a Successful Business; Murder Trials - 4 minutes, 30 seconds - Go to channel - Probability Course - 1.9K views - 8 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"Vu4x2DKn12g","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/Vu4x2DKn12g/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLC8md4lqRlZRUQqxeYswYjdCXRa9A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/Vu4x2DKn12g/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCZlNi23imEggeIVCjA-xIjiSY5CA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Probability vs Odds by Mario's Math Tutoring 199,387 views 8 years ago 4 minutes, 35 seconds"}},"simpleText":"Probability vs Odds"},"longBylineText":{"runs":[{"text":"Mario's Math Tutoring","navigationEndpoint":{"clickTrackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MariosMathTutoring","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UClOR1BiPyOkkIAnv9Cmj4iw","canonicalBaseUrl":"/@MariosMathTutoring"}}}]},"publishedTimeText":{"simpleText":"8 years ago"},"viewCountText":{"simpleText":"199,387 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"4 minutes, 35 seconds"}},"simpleText":"4:35"},"navigationEndpoint":{"clickTrackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQyB3JlbGF0ZWRIzKeygdSDjOyvAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=Vu4x2DKn12g","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"Vu4x2DKn12g","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-5hne6nz6.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=56ee31d832a7d768 ip=185.14.28.206 mt=1731643326 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Mario's Math Tutoring","navigationEndpoint":{"clickTrackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MariosMathTutoring","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UClOR1BiPyOkkIAnv9Cmj4iw","canonicalBaseUrl":"/@MariosMathTutoring"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_nm-x5td7oWG8GfOtQMV5cHRq2vU5iQQKnfyokXA7fTgqE=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxRA6K6flYO7jPdW","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"199K views"}},"simpleText":"199K views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CMsBEP6YBBgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMsBEP6YBBgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Vu4x2DKn12g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMsBEP6YBBgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Vu4x2DKn12g"],"params":"CAQ%3D"}},"videoIds":["Vu4x2DKn12g"]}},{"clickTrackingParams":"CMsBEP6YBBgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMwBELlqIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},"popupType":"TOAST"}}]}},"trackingParams":"CMsBEP6YBBgGIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CMoBENGqBRgHIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","offlineVideoEndpoint":{"videoId":"Vu4x2DKn12g","onAddCommand":{"clickTrackingParams":"CMoBENGqBRgHIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","getDownloadActionCommand":{"videoId":"Vu4x2DKn12g","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CMoBENGqBRgHIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtWdTR4MkRLbjEyZw%3D%3D","commands":[{"clickTrackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CMkBEI5iIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","hasSeparator":true}}],"trackingParams":"CMYBEKQwGAEiEwiXyYnDwN2JAxXAwUIFHU2HLxQ=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"4 minutes, 35 seconds"}},"simpleText":"4:35"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMgBEPnnAxgBIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"Vu4x2DKn12g","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CMgBEPnnAxgBIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"Vu4x2DKn12g"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMgBEPnnAxgBIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CMcBEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CMcBEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"Vu4x2DKn12g","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CMcBEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["Vu4x2DKn12g"],"params":"CAQ%3D"}},"videoIds":["Vu4x2DKn12g"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CMcBEMfsBBgCIhMIl8mJw8DdiQMVwMFCBR1Nhy8U"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Probability vs Odds - 4 minutes, 35 seconds - Go to channel - Mario's Math Tutoring - 199K views - 8 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/Vu4x2DKn12g/mqdefault_6s.webp?du=3000 sqp=CPic27kG rs=AOn4CLA-EUeil8Wj21PjbzQpADJlEmdNmQ","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/vDZtIAECeAQ/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLC-xhfEu-yoeKQYnNrZ5wo-LMXU7A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/vDZtIAECeAQ/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBtWUIjIQgNNC0kWC0DC67rhvT0Og","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"40 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3355443,"darkTheme":3355443}}}],"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":4144959,"darkTheme":4144959}}},"stackColor":{"lightTheme":10066329,"darkTheme":9211020}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Chance and Risk Course"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Probability Course
#############################
