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 =

.: (i) P(B|A) = P(A) = P(A) = 1 (ii) P(B|A) = B) P(A) = P(A) = 0

Probability — Class 12 Maths Solution

ncert misc SA NCERT,Misc,Q.1,Page.582

Question

$A$ and $B$ are two events such that $P(A) \ne 0$ . Find $P(B/A)$ , if

(i) $A$ is a subset of $B$

(ii) $A \cap B = \phi$

Step-by-step Solution

.: (i) $P(B|A) = \cfrac{{P(A \cap B)}}{{P(A)}} = \cfrac{{P(A)}}{{P(A)}} = 1$

(ii) $P(B|A) = \cfrac{{P({\rm{A}} \cap B)}}{{P(A)}} = \cfrac{0}{{P(A)}} = 0$

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.