The probability that Hemant passes in English is (2/3), and the probability that he passes in Hindi is (5/9). If the probability of his passing both the subjects is (2/5), find the probability that he will pass in at least one of these subjects.

Question

Philoid · Accepted Answer

let A denote the event that Hemant passes in english and B denote the event that hemant passes in hindi .

Given : P(A) = , P(B) = ,P(A and B) =

To find : Probability that he will pass in at least one of these subjects. = P(A or B)

Formula used : P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) =

The probability that he will pass in at least one of these subjects. = P(A or B) =