MATH 1550H Final: MATH1550H-Final-Solutions

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31 Jan 2019
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Instructions: do both of parts card and coin, and, if you wish, part die. Show all your work and simplify answers as much as practicable. 11 or a4 aid sheet; standard normal table; one brain (ca eine optional). [5] hands that are drawn entirely from these two suits. It follows that the probability that all from a standard 52-card deck, each equally likely. 5(cid:1) di erent (unordered) ve-card hands that can be drawn. 1(cid:1) ways to choose a kind for the three-of-a-kind and (cid:0)4. 1(cid:1) ways left to choose the kind for the two-of-a-kind. 5(cid:1) possible equally likely hands, the probability of drawing. 2(cid:1) ways to choose the two of that kind. Thus there are (cid:0)13: there are thirteen kinds and four cards, one of each suit, of each kind. 1(cid:1)(cid:0)4: this question boils down to counting how many full house hands are drawn entirely from s and/or s.