Youve been flipping a coin again, 8 times. But this time the coin is biased, with a

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You’ve been flipping a coin again, 8 times. But this time the coin is biased, with a probability of heads of 1/3.

(a) What is the probability of TTHTTTHT?

(b) If we rearrange the Hs and the Ts into a different sequence of 6 tails in 8 attempts, what is the probability of this new sequence?

(c) Is the probability of HHHHHHHH the same as the probability of TTHTTTHT?

(d) What determines the probability of a given sequence? Why?

(e) How many different sequences with 6 tails in 8 attempts are there?

(f) What is the probability for 6 tails in 8 coin flips?

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