Question

Suppose we draw 4 cards from a pack of 52 cards. What is the probability of getting exactly 3 aces?

A 0.9999 Correct Answer Incorrect Answer
B 0.9997 Correct Answer Incorrect Answer
C 0.0009 Correct Answer Incorrect Answer
D 0.5567 Correct Answer Incorrect Answer
E 0.0007 Correct Answer Incorrect Answer

Solution

The Random Experiment follows hypergeometric distribution with, N = 52 since there are 52 cards in a deck. k = 4 since there are 4 aces in a deck. n = 4 since we randomly select 4 cards from the deck. x = 3 since we want 3 aces. h(x; N, n, k) = [k Cx ] [N-k Cn-x ] / [N Cn ] h(3; 52, 4, 4) = [4 C3 ] [48 C1 ] / [52 C4 ] h(3; 52, 4, 4) = 0.0007.

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