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.
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.
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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Question
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
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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Step 1: Given information
VIEWStep 2: Find probability of winning single game and game end on draw
VIEWStep 3: Find the probability that A wins all 3 games:
VIEWStep 4: Find the probability that two games end in a draw
VIEWStep 5: Find the probability of A and B winning game alternatively
VIEWStep 6: Find the probability that B wins at least one game
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