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 4 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 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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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 4 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) 3
(B) 27/128
(C) "128
(D) %9
29
(E) 27/1
(F) $/128
(G) "/s
(H) %6
O A
OE
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 4 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) 3 (B) 27/128 (C) "128 (D) %9 29 (E) 27/1 (F) $/128 (G) "/s (H) %6 O A OE H.
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