A and B play 12 games of chess, of which 6 are won by A, 4 are won by B, and 2 end in draw. They agree to play a match consisting of 3 games. Find the probability that: i) A wins all the 3 games ii) 2 games end in draw iii) A and B win alternatively iv) B wins at least one game.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A and B play 12 games of chess, of which 6 are
won by A, 4 are won by B, and 2 end in draw.
They agree to play a match consisting of 3
games. Find the probability that:
i) A wins all the 3 games
ii) 2 games end in draw
iii) A and B win alternatively
iv) B wins at least one game.

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