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A and B are playing a badminton match with the agreement that winner of each set will get 1 point and the loser 0 point. The match ends as soon as one of them is ahead by 2 points or number of 1 and sets reaches six. It is supposed that the probabilities of A and B winning a set are 3 respectively and each set is independent. Let Xi denotes the event that atleast i sets are played and Y and Z denotes the event that match has won by A and B respectively then Identify incorrect option -

A and B are playing a badminton match with the agreement that winner of each set will get 1 point and the loser 0 point. The match ends as soon as one of them is ahead by 2 points or number of 1 and sets reaches six. It is supposed that the probabilities of A and B winning a set are 3 respectively and each set is independent. Let Xi denotes the event that atleast i sets are played and Y and Z denotes the event that match has won by A and B respectively then Identify incorrect option -

A First Course in Probability (10th Edition)
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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A and B are playing a badminton match with the agreement that winner of each set will get 1 point and the loser 0 point. The match ends as soon as one of them is ahead by 2 points or number of sets reaches six. It is supposed that the probabilities of A and B winning a set are and 3 respectively and each set is independent. Let X₁ denotes the event that atleast i sets are played and Y and Z denotes the event that match has won by A and B respectively then Identify incorrect option - Y (A) P(X) = 4 9 (C) P(X2k-1)= P(X2k) ke {1, 2, 3} (B) P (D) P Z X₁₂ = = 13 81 64 729
Transcribed Image Text:A and B are playing a badminton match with the agreement that winner of each set will get 1 point and the loser 0 point. The match ends as soon as one of them is ahead by 2 points or number of sets reaches six. It is supposed that the probabilities of A and B winning a set are and 3 respectively and each set is independent. Let X₁ denotes the event that atleast i sets are played and Y and Z denotes the event that match has won by A and B respectively then Identify incorrect option - Y (A) P(X) = 4 9 (C) P(X2k-1)= P(X2k) ke {1, 2, 3} (B) P (D) P Z X₁₂ = = 13 81 64 729
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