A factory keeps records of two undesirable events each day
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A factory keeps records of two undesirable events each day.
Event A: “The main machine breaks down.”
Event B: “A randomly inspected product is found defective.”
The events A and B are known to be independent. For a particular day it is estimated that P(A)=0.10 and P(B)=0.05. Answer the following.
(i) Calculate the probability that neither the machine breaks down nor the product is defective on that day.
(ii) Determine the probability that at least one of the two undesirable events occurs on that day.
(iii) Find the probability that exactly one of the two undesirable events occurs on that day.