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