When coin 1 is flipped, it lands on heads with probability; when coin 2 is flipped it lands on heads v probability. (a) If coin 1 is flipped 9 times, find the probability that it lands on heads at least 7 times. (b) If one of the coins is randomly selected and flipped 11 times, what is the probability that it lands on he exactly 8 times? (c) In part (b), given that the first of these 11 flips lands on tails, find the conditional probability that exactly the 11 flips land on heads.

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