A fair die is rolled 15 times. Calculate the probability that there are: a. Exactly three 6s

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A fair die is rolled 15 times. Calculate the probability that there are:
a. Exactly three 6s and three 5s
b. Exactly three 6s, three 5s, and four 4s
c. Exactly two 6s
What is the expected number of 6s obtained.
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