Youtor
Probability example of the sum and product rule
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The product rule postulates on the probable simultaneous occurrence of two independent events while the sum rule indicates the probable occurrence of either one of two mutually exclusive events. Both rules use a mathematical formula to calculate the respective probabilities. • The sum rule is also known as the addition law or rule. It states that the probability of any one of two or more mutually exclusive events occurring is the sum of the probabilities of each individual event. This also applies to the probability where one event can occur in two or more different ways. • Problem: • Teddy has two pairs of black shoes and three pairs of brown shoes. • He also has three pairs of red socks, four pairs of brown socks and six pairs of black socks, • If Teddy chooses a pair of shoes at random and a pair of socks at random, what is the probability that the colors he chooses are black and brown (in some order)? • • A) 2/5 • B) 6/13 • C) 3/5 • D) 10/13 • #genetics #probability #statistics
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