Two events A and B have probabilities 0.25 and 0.50,… — JEE Main 1980 Mathematics PYQ

1980

Two events

A

and

B

have probabilities 0.25 and 0.50, respectively. The probability that both

A

and

B

occur simultaneously is 0.14. Then, the probability that neither

A

nor

B

occurs, is

Show answer and solution

Correct option: A

Solution

P(A∪B) = P(A) + P(B) - P(A∩B) = 0.25 + 0.50 - 0.14 = 0.61.

P(neither A nor B) = 1 - P(A∪B) = 1 - 0.61 = 0.39.

[1980]

Practise Probability the way it is asked

A timed set of real JEE Main Probability questions, graded as the exam grades. No sign-up.

JEE Main 1980 Mathematics question on Probability