One coin in a collection of 13 is rigged to have a probability of showing heads equal to 0.6. The rest are fair (probability 0.5). A coin is chosen at random from the lot and tossed 2 times. It turns up heads 2 times in a row. What is the probability that it is the rigged coin given that it showed heads in 2 out of 2 tosses? ⠀ (for best results enter an exact answer or an approximation with at least 4 decimal places) Hints

One coin in a collection of 13 is rigged to have a probability of showing heads equal to 0.6. The rest are fair (probability 0.5). A coin is chosen at random from the lot and tossed 2 times. It turns up heads 2 times in a row. What is the probability that it is the rigged coin given that it showed heads in 2 out of 2 tosses? ⠀ (for best results enter an exact answer or an approximation with at least 4 decimal places) Hints

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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