HHTH. What is the probability that the fair coin was selected? (8/81)(1/2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![9) Beatrice has two coins. The first coin is fair and the second coin is biased. The
biased coin comes up heads with probability 2/3 and tails with probability 1/3. Beatrice
selects one of the two coins at random and flips the selected coin 4 times. The result is
HHTH. What is the probability that the fair coin was selected?
a.
(8/81)(1/2)
(8/81)(1/2)+(1/16)(1/2)
b.
(1/16)
(8/81)+(1/16)
(8/81)(1/2)
C.
(2/81)(1/2)+(1/16)(1/2)
d.
(1/16)
(2/81)+(1/16)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0767607-239c-4363-bb33-da099986682b%2Fb8bb22ee-e20e-4227-8780-e7f6c8b3e3dc%2Fpqbskcu_processed.png&w=3840&q=75)
Transcribed Image Text:9) Beatrice has two coins. The first coin is fair and the second coin is biased. The
biased coin comes up heads with probability 2/3 and tails with probability 1/3. Beatrice
selects one of the two coins at random and flips the selected coin 4 times. The result is
HHTH. What is the probability that the fair coin was selected?
a.
(8/81)(1/2)
(8/81)(1/2)+(1/16)(1/2)
b.
(1/16)
(8/81)+(1/16)
(8/81)(1/2)
C.
(2/81)(1/2)+(1/16)(1/2)
d.
(1/16)
(2/81)+(1/16)
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