Suppose you draw five cards from a standard deck of 52 cards. a) What is the probability that you get exactly three red cards? b) Now suppose that if you don’t get exactly three red cards, you replace all five cards, reshuffle the deck, and try again. You keep doing this until you do get exactly three red cards. What is the probability that you have to repeat this exactly seven times?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Suppose you draw five cards from a standard deck of 52 cards.
a) What is the probability that you get exactly three red cards?

b) Now suppose that if you don’t get exactly three red cards, you replace all
five cards, reshuffle the deck, and try again. You keep doing this until you do
get exactly three red cards. What is the probability that you have to repeat
this exactly seven times?

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