student is allowed to pass a test on three tries. The probability that the student passes the test on the first attempt is 0.5, that he passes on the second attempt (of course, given that he failed on the first attempt) is 0.7, and the probability that he passes on the third attempt is 0.8 (given he failed on the first two attempts). What is the probability that he will pass the test?

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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A student is allowed to pass a test on three tries. The probability that
the student passes the test on the first attempt is 0.5, that he passes
on the second attempt (of course, given that he failed on the first
attempt) is 0.7, and the probability that he passes on the third attempt
is 0.8 (given he failed on the first two attempts). What is the probability
that he will pass the test?

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