18.05 Lecture 1: MIT18_05S14_Reading1b.pdf
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A coin is fair if it comes up heads or tails with equal probability. What is the probability that exactly one of the ips results in a head? answer: with three ips, we can easily list the eight possible outcomes: {t t t, t t h, t ht, t hh, ht t, ht h, hht, hhh} Three of these outcomes have exactly one head: Since all outcomes are equally probable, we have. P (1 head in 3 ips) = number of outcomes with 1 head total number of outcomes. A deck of 52 cards has 13 ranks (2, 3, . , 9, 10, j, q, k, a) and 4 suits ( , , , ,). A one-pair hand consists of two cards having one rank and three cards having three other ranks, e. g. , {2 , 2 , 5 , 8 , k } 2 the probability of a one-pair hand is:
