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

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. Forhim, the probability of playing chess on a random day is twice as that of playing footballand one third of the probability of playing basketball. What is the probability that in thenext week, he will play basketball in 3 days, chess in 2 days and football in the remainingdays?

2.Rohan, the bookworm plans on reading 8 books by next week. But he only reads novels,poetry, short stories or science fiction. Interestingly he says, "My love for novels is twicethe love for the rest altogether ". He also claims, "Love for short stories = 3 x Love forscience fiction = 3 x Love for poetry". Taking these into account, determine theprobability that he reads 4 novels, 3 poetry and 1 short story or science fiction?

3.On an average, there are 2 visits to a supershop per minute. What is the probability thatthe supershop will have 100 customer visits within the next 1 hour?

4.A mobile operator company has to deal with 12 site down issues per hour. What is theprobability that it will have to solve at least 4 site down issues within the next 10minutes?

5.In a customer service center, there are 18 complaints dropped per minute. What is theprobability that the number of complaints in the next minute will be not more than 4 andnot less than 2?

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