If A and B are two events such that A B and P(B) 0 , then which of the following is correct? (A) P(A|B) = P(A) (B) P(A|B) < P(A) (C) P(A|B) P(A) (D) None of these

Option C is correct When A B , then A B = A P(A|B) = P(B) = P(B) P(A) Exercise-13.4

Probability — Class 12 Maths Solution

ncert exercise SA NCERT,EX.13.3,Q.14,Page.557

Question

If $A$ and $B$ are two events such that $A \subset B$ and $P(B) \ne 0$ , then which of the following is correct?

(A) $P(A|B) = \cfrac{{P(B)}}{{P(A)}}$

(B) $P(A|B) < P(A)$

(D) None of these

Step-by-step Solution

Option C is correct

When $A \subset B$ ,

then $A \cap B = A$

$\therefore P(A|B) = \cfrac{{P(A \cap B)}}{{P(B)}} = \cfrac{{P(A)}}{{P(B)}} \ge P(A)$

Exercise-13.4

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