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Consider five-card-hands out of a deck of 52 cards. a) (10%) What is the probability that...

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Question

Programming

Consider five-card-hands out of a deck of 52 cards.

a) (10%) What is the probability that a hand selected at randomcontains five cards of the same suit? (The suits are hearts,spades, diamonds and clubs.) Show a formula and compute a finalanswer. Show your intermediate computations.

b) (10%) In how many different ways can a hand contain no morethan 2 cards of the same kind. (E.g. not more than 2 queens.) Showa formula but you do not have to compute a final answer.

Answer & Explanation Solved by verified expert
4.2 Ratings (639 Votes)
A hand has 5 cards out of a deck of 52 cardsa For the number of hands with cards of the same suitcalculate as following The first card can be any card Hencethere are ways of choosing thefirst cardThe next four cards must be from the same suit as the firstcard Note that    See Answer
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