An unfair coin with Pr[H]=0.6 is flipped. If the flip results in a head, a marble is selected at random from an urn containing six red and four blue marbles. Otherwise, a marble is selected from a different urn containing one red and seven blue marbles.  If the selected marble is red, what is the probability that the flip resulted in a head?

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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An unfair coin with Pr[H]=0.6 is flipped. If the flip results in a head, a marble is selected at random from an urn containing six red and four blue marbles. Otherwise, a marble is selected from a different urn containing one red and seven blue marbles. 
If the selected marble is red, what is the probability that the flip resulted in a head? 

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