NCERT Class XII Mathematics Chapter - - Solutions

© examsnet.com
Question : 83
Total: 101
..... Miscellaneous Exercise .....
A and B are two events such that P(A) ≠ 0. Find P(B|A), if
(i) A is a subset of B
(ii) A ∩ B = ϕ
Solution:  
(i) P(B|A)=
P(AB)
P(A)
=
P(A)
P(A)
=1
(∵ A ⊂ B ⇒ A ∩ B = A)
(ii) (i) P(B|A)=
P(AB)
P(A)
=
0
P(A)
=0
(∵ A ∩ B = ϕ ⇒ P(A ∩ B) = 0)
© examsnet.com
Go to Question: