One stack of cards consists of four red and six black cards. A second stack of cards consists of twelve red cards. Both stacks are shuffled separately. Then a stack is selected at random and from that stack three cards are selected at random and with replacement.  What is the probability that the three selected cards are all red?  Given that the three selected cards are all red what is the probability they came from stack one?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...
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One stack of cards consists of four red and six black cards. A second stack of
cards consists of twelve red cards. Both stacks are shuffled separately. Then
a stack is selected at random and from that stack three cards are selected at
random and with replacement.

 What is the probability that the three selected cards are all
red?
 Given that the three selected cards are all red what is the
probability they came from stack one?
 
 

 

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