You have flipped a coin 50 times. The probabilities of heads and tails are equal: 1/2. (a)

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You have flipped a coin 50 times. The probabilities of heads and tails are equal: 1/2.

(a) Find P(HTHTTTHHHTHHTTTTTHTTHHH HTTTHHHHTTTTHHHTTTTHHHTHTTT).

(b) If we rearrange the Hs and the Ts into a different sequence of 27 tails in 50 attempts, what is the probability of this new sequence?

(c) Howmany different sequences amount to a combinationwith 27 heads in 50 attempts?

(d) Howmany different sequences of heads and tail are possible in 50 coin flips?

(e) What is the probability of 27 tails in 50 coin flips?

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