SOCSCI 2J03 Lecture Notes - Lecture 14: Mutual Exclusivity
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Socsci 2j03 lecture 14 counting rule, factorials, combinations, and permutations. Addition rule to find the probability of the union of mutually exclusive events. The probability of the union of two mutually exclusive events a and b is: p(a or b) = p(a) + p(b) Tossing a coin three times has three steps: the rst toss, the second toss, and the third toss. Each step has two outcomes: a head and a tail. Therefore, total outcomes for three tosses of a coin = 2 x 2 x 2 = 8. Total 8 outcomes: hhh, hht, hth, htt, thh, tht, tth, and ttt. The total possible outcomes for 16 games that can result in one of three outcomes (a win, a loss, or a tie: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 = 316 = 43,046,721. The symbol n!, read as n factorial, represents the product of all the integers from n to.