You challenge your friend to an arm wrestling match consisting of a series of four rounds. From past experience you know that your friend wins on average 1 out of 3 of the rounds you play against each other, and you win the rest. What is the probability that the match ends tied 2-2, given that each of you wins at least one round? Assume that each of the four rounds is independent of the others. (A) %1 (В) 2т (C) % (D) 3 (E) 6/s1 (F) ¼ (G) 27 (H) "/s1

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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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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Please help me with this math homework question. I really can not figure this out. 

You challenge your friend to an arm wrestling match consisting of a series of four
rounds. From past experience you know that your friend wins on average 1 out of 3 of
the rounds you play against each other, and you win the rest. What is the probability
that the match ends tied 2-2, given that each of you wins at least one round? Assume
that each of the four rounds is independent of the others.
(A) %1
(B) 24/17
(C) %
(D) 3
(E) %
(F) ¼
(G) 27
(H) "/s1
A
В
ОЕ
F
G
H
Transcribed Image Text:You challenge your friend to an arm wrestling match consisting of a series of four rounds. From past experience you know that your friend wins on average 1 out of 3 of the rounds you play against each other, and you win the rest. What is the probability that the match ends tied 2-2, given that each of you wins at least one round? Assume that each of the four rounds is independent of the others. (A) %1 (B) 24/17 (C) % (D) 3 (E) % (F) ¼ (G) 27 (H) "/s1 A В ОЕ F G H
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