A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) for a total of 52 cards.  In a typical game of poker, you are deal five cards (without replacement) from a deck of 52 cards.  How likely are these five cards to be of the same suit (a flush)? Round to four decimal places. Hint: First, find the probability they are all the same particular suit (say, all Diamonds) then multiply that answer by 4 (the total number of suits).   A. .2500 B. .0020 C. .0005 D. 1287

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) for a total of 52 cards. 

In a typical game of poker, you are deal five cards (without replacement) from a deck of 52 cards.  How likely are these five cards to be of the same suit (a flush)? Round to four decimal places.

Hint: First, find the probability they are all the same particular suit (say, all Diamonds) then multiply that answer by 4 (the total number of suits).

 

A. .2500

B. .0020

C. .0005

D. 1287

 

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