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A six-sided fair die is rolled six times independently. If side i is observed on the...

A six-sided fair die is rolled six times independently. If side i is observed on the ith roll, it is called a match on the ith trial, i = 1, 2, 3, 4, 5, 6. Find the probabilities that

(a) all six trials result in matches,

(b) at least one match occurs in these six trials,

(c) exactly two matches occur in these six trials.

Math   Statistics-And-Probability   
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