Copykwik has four photocopy machines: A, B, C and D. The probability that a given machine will break down on a particular day is P(A) = 1/50 P(B) = 1/60 P(C) = 1/75 P(D) = 1/40. Assuming independence, what is the probability that: (a) All four machines will break down? (What is this in symbols?) (b) None of the machines will break down? (c) Exactly one machine will break down?

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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  1. Copykwik has four photocopy machines: A, B, C and D. The probability that a given machine will break down on a particular day is P(A) = 1/50 P(B) = 1/60 P(C) = 1/75 P(D) = 1/40. Assuming independence, what is the probability that: (a) All four machines will break down? (What is this in symbols?) (b) None of the machines will break down? (c) Exactly one machine will break down? 
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