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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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