Given - A and B be the events such that P(A) =
5
11
, P(B) =
6
11
and
P(A ∪ B) =
7
11
To find –
(i) P(A ∩ B)
(ii) P(A/B)
(iii) P(B/A)
(iv) P(
¯
A
/
¯
B
)
Formula to be used – By conditional probability, P(A/B) =
P(A∩B)
P(B)
where P(A/B) is the probability of occurrence of the event
A given that B has already occurred.
=
2
3
=
4
5