If the selected marble selected is​ red, what is the probability that the flip resulted in a​ head?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...
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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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