When coin 1 is flipped, it lands on heads with probability 3/5; when coin 2 is flipped it lands on heads with probability 4/5. (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 heads exactly 8 times? (c) In part (b), given that the first of these 11 flips lands on tails, find the conditional probability that exactly 8 of the 11 flips land on heads.