Question

A company has 2 photocopy machines. The probability that machine A will breakdown on a given day is 2%. The probability that machine B will break down is 2.5%. What is the probability that both machines will break down on a given day? Give your answer in percent.

Answer 1

Given;
Probability of machine A breaking down, P(A) = 2% = 0.02
And, probability of machine B breaking down, P(B) = 2.5% = 0.025

Then, the probability that machines A and B will break down on the  same day is;
P(A&B) = P(A)P(B) = P(A)*P(B) = 0.02*0.025 = 0.0005

In percentage form;
P(A&B) = 0.0005*100 = 0.05%