If $A$ and $B$ are two events such that $P(A) \ne 0$ and $P(B|A) = 1,$ then
(A) $A \subset B$
(B ) $B \subset A$
(C) $B = \phi$
(D) $A = \phi$
If $A$ and $B$ are two events such that $P(A) \ne 0$ and $P(B|A) = 1,$ then
(A) $A \subset B$
(B ) $B \subset A$
(C) $B = \phi$
(D) $A = \phi$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
Option A is correct
$P(B|A) = 1 \Rightarrow \cfrac{{P(A \cap B)}}{{P(A)}} = 1$
$\Rightarrow$ $P(A \cap B) = P(A) \Rightarrow A \subset B$
[ When $A \subset B$ , then $A \cap B = A$ ]
Community Answers (0)
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.