You have 2 biased coins. Coin A comes up heads with probability 1/4, while coin B comes up heads with probability 3/4. However, you don’t know which is which, so you choose a coin randomly and flip it. If the flip is heads, you guess the flipped coin is B, otherwise you guess it is coin A. What is the probability that your guess is correct?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You have 2 biased coins. Coin A comes up heads with probability 1/4, while coin B comes up
heads with probability 3/4. However, you don’t know which is which, so you choose a coin
randomly and flip it. If the flip is heads, you guess the flipped coin is B, otherwise you guess it is
coin A. What is the probability that your guess is correct? 

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