Answered: Bianca has two coins. Coin A is a…

Bianca has two coins. Coin A is a biased coin that comes up HEAD with probability 0.3. Coin B is a fair coin that comes up HEAD with probability

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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Question

Bianca has two coins. Coin A is a biased coin that comes up HEAD with probability 0.3. Coin B is a fair coin that comes up HEAD with probability 0.5. Bianca picks one of the two coins uniformly at random. She flips it. Conditioned on that the outcome of the coin flip is HEAD, what is the probability that Bianca picked coin A? Give the answer as an irreducible fraction of two integers.

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