A computer repair shop has estimated the probability that a computer sent to the shop has a bad modem is  1 4,  the probability that the computer has a bad CPU is  1 3,  and the probability that it has a bad drive is  1 8.  If we assume that modems, CPUs, and drives are independent, find the probability of the following. (Enter your probabilities as fractions.) (a) A modem, CPU, and a drive in a computer sent to the shop are bad. (b) Only a modem and a CPU in a computer sent to the shop are bad. (c) None of the three parts (modem, CPU, or drive) is bad

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A computer repair shop has estimated the probability that a computer sent to the shop has a bad modem is 

1
4
,

 the probability that the computer has a bad CPU is 

1
3
,

 and the probability that it has a bad drive is 

1
8
.

 If we assume that modems, CPUs, and drives are independent, find the probability of the following. (Enter your probabilities as fractions.)

(a) A modem, CPU, and a drive in a computer sent to the shop are bad.


(b) Only a modem and a CPU in a computer sent to the shop are bad.


(c) None of the three parts (modem, CPU, or drive) is bad.
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