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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

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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