A deck of 52 cards is mixed well, and 5 cards are dealt. (a) It can be shown that (disregarding the order in which the cards are dealt) there are 2,598,960 possible hands, of which only 1,287 are hands consisting entirely of spades. What is the probability that a hand will consist entirely of spades? (Round your answer to six decimal places.) What is the probability that a hand will consist entirely of a single suit? (Round your answer to six decimal places.) (b) It can be shown that exactly 63,206 hands contain only spades and clubs, with both suits represented. What is the probability that a hand consists entirely of spades and clubs with both suits represented? (Round your answer to five decimal places.)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A deck of 52 cards is mixed well, and 5 cards are dealt.
(a)
It can be shown that (disregarding the order in which the cards are dealt) there are 2,598,960 possible hands, of which only 1,287 are hands consisting entirely of spades.
What is the
What is the probability that a hand will consist entirely of a single suit? (Round your answer to six decimal places.)
(b)
It can be shown that exactly 63,206 hands contain only spades and clubs, with both suits represented. What is the probability that a hand consists entirely of spades and clubs with both suits represented? (Round your answer to five decimal places.)
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