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 7 /10 .

(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 8 times, what is the probability that it lands on heads exactly 5 times?

(c) In part (b), given that the first of these 8 flips lands on heads, find the conditional probability that exactly 5 of the 8 flips land on heads.

Expert Solution

orchestra answered 2 years ago

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