What is the probability that the weighted coin was selected, given that all 3 flips turned up heads?

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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Rework problem 11 from section 3.4 of your text, involving the flipping of either a fair or weighted coin. Assume that the weighted coin yields a heads with probability 0.35. You select one of the two coins at random, and flip it 3 times, noting heads or tails with each flip.

What is the probability that the weighted coin was selected, given that all 3 flips turned up heads?

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