Question

Let A and B be two events associated with a random experiment for which P(A) = 0.4, P(B) = 0.5 and P(A or B) = 0.6. Find P(A and B).

Answer 1

Given : P(A) = 0.4, P(A or B) = 0.6 and P(B) = 0.5

To find : P(A and B) 

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

Substituting in the above formula we get, 

0.6 = 0.4 + 0.5 – P(A and B) 

0.6 = 0.9 - P(A and B) 

P(A and B) = 0.9 – 0.6 

P(A and B) = 0.3 

P(A and B) = 0.3