A standard deck of cards consists of 52 cards of 13 types (2,3,...,10,J,Q,K and ace) and 4 colors (hearts, spades, diamonds and clubs), and each combination of type and color appears exactly once. We simultaneously draw 4 cards in random from a standard deck of 52 cards.   What is the probability that we drew exactly 2 aces and exactly 2 hearts?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A standard deck of cards consists of 52 cards of 13 types (2,3,...,10,J,Q,K and ace) and 4 colors (hearts, spades, diamonds and clubs), and each combination of type and color appears exactly once. We simultaneously draw 4 cards in random from a standard deck of 52 cards.

 

What is the probability that we drew exactly 2 aces and exactly 2 hearts?

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