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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 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.
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 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.
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