Answer to Question #85870 in Statistics and Probability for Nikita Kumari

Question

An explosion in a factory manufacturing explosive can occur because of (i)leakage of electricity,(ii)defects in machinery,(iii)carelessness of workers and (iv) conspiracy,whose probabilities are respectively 0.25,0.2,0.5 and 0.75.The probability that
(i)there is a leakage of electricity is 0.2.
(ii)the machinery is defective is 0.3.
(iii)the workers are careless is 0.4.
(iv)there is a conspiracy is 0.1.
Which is the most likely cause of explosion?