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.
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.

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

Given : P(A) = 2/3, P(B) = 5/9  ,P(A and B) = 2/5

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) = 37/45

P(A or B) = 37/45

The probability that he will pass in at least one of these subjects. = P(A or B) = 37/45