An experiment consists of randomly selecting 3 coins, tossing it, and observing the outcome heads or tails. The first coin is a two headed coin, the second is a biased coin such that P(H)=0.75 and the third is a fair coin. A) what is the probability that the coin that is tossed will show heads? B)If the coin selected shows heads, what is the probability that this is the fair coin?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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An experiment consists of randomly selecting 3 coins, tossing it, and observing the outcome heads or tails. The first coin is a two headed coin, the second is a biased coin such that P(H)=0.75 and the third is a fair coin.

A) what is the probability that the coin that is tossed will show heads?

B)If the coin selected shows heads, what is the probability that this is the fair coin?

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