Question: Suppose that a biased coin that lands on heads with probability p is flipped 10 times. Given that a total of 6 heads results, find

Suppose that a biased coin that lands on heads with probability p is flipped 10 times. Given that a total of 6 heads results, find the conditional probability that the first 3 outcomes are
(a) h, t, t (meaning that the first flip results in heads, the second in tails, and the third in tails);
(b) t, h, t.

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