6. The probability that a person visiting his dentist will have an X-ray is 0.6; the probability that a person who has an X-ray will also have a cavity filled is 0.3; and the probability that a person who has had an X-ray and a cavity filled will also have a tooth extracted is 0.1. What is the probability that a person visiting his dentist will have an X-ray, a cavity filled, and a tooth extracted?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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6. The probability that a person visiting his dentist will have an X-ray is 0.6; the probability that
a person who has an X-ray will also have a cavity filled is 0.3; and the probability that a person
who has had an X-ray and a cavity filled will also have a tooth extracted is 0.1. What is the
probability that a person visiting his dentist will have an X-ray, a cavity filled, and a tooth
extracted?
Transcribed Image Text:6. The probability that a person visiting his dentist will have an X-ray is 0.6; the probability that a person who has an X-ray will also have a cavity filled is 0.3; and the probability that a person who has had an X-ray and a cavity filled will also have a tooth extracted is 0.1. What is the probability that a person visiting his dentist will have an X-ray, a cavity filled, and a tooth extracted?
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