Three independent machines and in a factory produce a defective item on a particular…
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
Three independent machines M1,M2 and M3 in a factory produce a defective item on a particular day with probabilities 0.05, 0.04 and 0.06 respectively.
(i) Find the probability that at least one of the machines produces a defective item on that day.
(ii) Find the probability that at most one machine produces a defective item on that day.
(iii) Find the probability that exactly two machines produce a defective item on that day.