1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the probability of playing chess on a random day is twice as that of playing football and one third of the probability of playing basketball. What is the probability that in the next week, he will play basketball in 3 days, chess in 2 days and football in the remaining days?

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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1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For
him, the probability of playing chess on a random day is twice as that of playing football
and one third of the probability of playing basketball. What is the probability that in the
next week, he will play basketball in 3 days, chess in 2 days and football in the remaining
days?
Transcribed Image Text:1. Mayank plays exactly one sport everyday. It can be football or basketball or chess. For him, the probability of playing chess on a random day is twice as that of playing football and one third of the probability of playing basketball. What is the probability that in the next week, he will play basketball in 3 days, chess in 2 days and football in the remaining days?
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Let us denote the event of playing chess by C, the event of playing football by F and the event of playing basketball by B.

 

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