If A and B are two events such that $P(A) ≠ 0$ and $P(B | A) = 1$ then
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $A⊂B$
Given:
$P(B|A) = 1$ and $P(A) \ne 0$
From conditional probability:
$P(B|A) = \frac{P(A \cap B)}{P(A)} = 1$
So,
$P(A \cap B) = P(A)$
This implies that all outcomes of $A$ are contained in $B$.
Therefore,
$A \subseteq B$