Question

When coin 1 is flipped, it lands on heads with probability   3 5  ; when coin...

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 11 times, find the probability that it lands on heads at least 9 times.
(b) If one of the coins is randomly selected and flipped 10 times, what is the probability that it lands on heads exactly 7 times?
(c)

In part (b), given that the first of these 10 flips lands on tails, find the conditional probability that exactly 7 of the 10 flips land on heads.

just do c!

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