Suppose that I have a coin for which P(H) = p and P(T) = 1 p. I

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Suppose that I have a coin for which P(H) = p and P(T) = 1 −p. I toss the coin 5 times.

a. What is the probability that the outcome is THHHH?

b. What is the probability that the outcome is HTHHH?

c. What is the probability that the outcome is HHTHH?

d. What is the probability that I will observe exactly four heads and one tails?

e. What is the probability that I will observe exactly three heads and two tails?

f. If I toss the coin n times, what is the probability that I observe exactly k heads and n −k tails?

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