One number from the set {1, 2, 3} is selected at random. Then a fair coin is flipped x times, where x equals the number that was chosen randomly from the set. What is the probability that 3 was chosen from the set given that (a) no heads were seen on any of the coin flips (b) exactly 1 head was seen on the coin flips (c) exactly 2 heads were seen on the coin flips (d) exactly 3 heads were seen on the coin flips?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 29CT
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One number from the set {1, 2, 3} is selected at random. Then a fair coin is flipped x times,
where x equals the number that was chosen randomly from the set. What is the probability that 3
was chosen from the set given that (a) no heads were seen on any of the coin flips (b) exactly 1
head was seen on the coin flips (c) exactly 2 heads were seen on the coin flips (d) exactly 3 heads
were seen on the coin flips?

 

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