When coin 1 is flipped, it lands on heads with probability. 4; when coin 2 is flipped, it lands on heads with probability. 7. One of these coins is randomly chosen and flipped 10 times. (a) What is the probability that the coin lands on heads on exactly 7 of the 10 flips? (b) Given that the first of these ten flips lands heads, what is the conditional probability that exactly 7 of the 10 flips land on heads?
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