The probability that an archer hits the target is p = 0.9, so the probability that he misses the target is q = 0.1. It is known that in this situation the probability that the archer hits the target exactly r times in n attempts is given by the term containing pr in the binomial expansion of (p+q)^n.  Find the probability that the archer hits the target exactly three times in six attempts.

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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The probability that an archer hits the target is p = 0.9, so the probability that he misses the target is q = 0.1. It is known that in this situation the probability that the archer hits the target exactly r times in n attempts is given by the term containing pr in the binomial expansion of (p+q)^n.  Find the probability that the archer hits the target exactly three times in six attempts.

 

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