JazzyDunn16 JazzyDunn16

11-05-2017
Mathematics

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Suppose that 7 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 7 are clubs?

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LammettHash LammettHash

11-05-2017

There are 13 possible cards with the clubs suit, so the probability of drawing a hand consisting of all clubs is

[tex]\dfrac{\dbinom{13}7\dbinom{39}0}{\dbinom{52}7}=\dfrac{33}{2572780}\approx0.00001283[/tex]

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