Given - A and B be the events such that P(A) = \(\frac{3}{10},\) P(B) = \(\frac{1}{2}\) and P(B/A) = \(\frac{2}{5}\)
To find –
(i) P(A ∩ B)
(ii) P(A ∪ B)
(iii) P(A/B)
Formula to be used – By conditional probability, P(A/B) = \(\frac{P(A\cap B)}{P(B)}\) where P(A/B) is the probability of occurrence of the event
A given that B has already occurred.
= \(\frac{6}{25}\)