Problem A box contains three coins: two regular coins and one fake two-headed coin (P(H)=1P(H)=1), You pick a coin at random and toss it. What is the probability that it lands heads up? You pick a coin at random and toss it, and get heads. What is the probability that it is the two-headed coin?

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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Problem  A box contains three coins: two regular coins and one fake two-headed coin (P(H)=1P(H)=1), You pick a coin at random and toss it. What is the probability that it lands heads up? You pick a coin at random and toss it, and get heads. What is the probability that it is the two-headed coin?
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