(a) A fair die is rolled 10 times. What is the probability of obtaining the outcome 6...

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(a) A fair die is rolled 10 times. What is the probability of obtaining the outcome 6 exactly 3 times?
(b) A fair die is repeatedly rolled. What is the probability that the outcome 6 is obtained for the fourth tune on the twentieth roll?
(c) A fair die is rolled nine times. What is the probability of obtaining the outcomes 5 and 6 both exactly two times each?
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