Find the probability that in five years' time : (a) both machines will be performing a usual function, (b) neither will be operating, (c) only machine B will be operating, and (d) at least one of the machines will be operating.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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 machine A will be perform-
ing a usual function in 5 years’ time is 1/4 while the probability that
machine B will still be operating usefully at the end of same period
is 1/3.
Find the probability that in five years' time :
(a) both machines will be performing a usual function,
(b) neither will be operating,
(c) only machine B will be operating, and
(d) at least one of the machines will be operating.
Transcribed Image Text:The probability that machine A will be perform- ing a usual function in 5 years’ time is 1/4 while the probability that machine B will still be operating usefully at the end of same period is 1/3. Find the probability that in five years' time : (a) both machines will be performing a usual function, (b) neither will be operating, (c) only machine B will be operating, and (d) at least one of the machines will be operating.
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