When coin 1 is flipped, it lands on heads with probability ; when coin 2 is flipped it lands on heads with probability. (a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times. (b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads exactly 6 times? (c) In part (b), given that the first of these 9 flips lands on tails, find the conditional probability that exactly 6 of the 9 flips land on heads.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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When coin 1 is flipped, it lands on heads with probability
when coin 2 is flipped it lands on heads with
probability .
(a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times.
(b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads
exactly 6 times?
(c) In part (b), given that the first of these 9 flips lands on tails, find the conditional probability that exactly 6 of
the 9 flips land on heads.
Transcribed Image Text:When coin 1 is flipped, it lands on heads with probability when coin 2 is flipped it lands on heads with probability . (a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times. (b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads exactly 6 times? (c) In part (b), given that the first of these 9 flips lands on tails, find the conditional probability that exactly 6 of the 9 flips land on heads.
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