If the selected marble selected 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] =
0.2
is flipped. If the flip results in a​ head, a marble is selected at random from a urn containing
seven
red and
three
blue marbles.​ Otherwise, a marble is selected from a different urn containing
one
red and
seven
blue marbles.
 
If the selected marble selected is​ red, what is the probability that the flip resulted in a​ head?
 
nothing   
If​ necessary, round your answer to 4 decimal places.
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