19. The surface of a circular dartboard has a small center circle called the bull's eye and 20 pie-shaped regions numbered from 1-20. Each of the pie-shaped regions is further divided into three parts such that a person throwing a dart that lands on a specified number scores the value of the number, double the number, or triple the number, depending on which of the three parts the dart falls. If a contestant hits the bull's eye with a probability of 0.01, hits a double with a probability of 0.10, hits a triple with a probability of 0.05, and misses the dart board with a probability of 0.02, what is the probability that 7 throws will result in no bulls eyes, no triples, a double twice, and a complete miss once?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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19. The surface of a circular dartboard has a small center circle called the bull's eye
and 20 pie-shaped regions numbered from 1-20. Each of the pie-shaped regions is
further divided into three parts such that a person throwing a dart that lands on a
specified number scores the value of the number, double the number, or triple the
number, depending on which of the three parts the dart falls. If a contestant hits the
bull's eye with a probability of 0.01, hits a double with a probability of 0.10, hits a
triple with a probability of 0.05, and misses the dart board with a probability of 0.02,
what is the probability that 7 throws will result in no bulls eyes, no triples, a double
twice, and a complete miss once?
Transcribed Image Text:19. The surface of a circular dartboard has a small center circle called the bull's eye and 20 pie-shaped regions numbered from 1-20. Each of the pie-shaped regions is further divided into three parts such that a person throwing a dart that lands on a specified number scores the value of the number, double the number, or triple the number, depending on which of the three parts the dart falls. If a contestant hits the bull's eye with a probability of 0.01, hits a double with a probability of 0.10, hits a triple with a probability of 0.05, and misses the dart board with a probability of 0.02, what is the probability that 7 throws will result in no bulls eyes, no triples, a double twice, and a complete miss once?
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