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Question
If A and B are two events such that P (A) ≠ 0 and P(B|A) = 1, then ______.
Options
A ⊂ B
B ⊂ A
B = Φ
A = Φ
Solution
If A and B are two events such that P (A) ≠ 0 and P(B|A) = 1, then. A ⊂ B.
Explanation:
`P(B|A) = 1`
⇒ `(P(A ∩ B))/(P(A)) = 1`
Where A ⊂ B, A ∩ B = P(A)
∴ P(A ∩ B) = P(A)
∴ A ⊂ B
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