Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 3 aces and 2 kings? (Round your answer to six decimal places.) (b) What is the probability that we draw a "full house" (3 cards of one kind, 2 cards of another kind)? (Round your answer to four decimal places.)
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There are 8 cards in total (4 aces and 4 kings), so we need to choose 5 cards from these 8. The total number of ways to choose 5 cards from a 52-card deck is ${52 \choose 5}$. So, the probability of drawing 5 aces and kings is: $$\frac{{8 \choose 5}}{{52 \choose Show more…
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