Probability
Conditional Probability
Grade 12

Question:

<p>A and B are two events such that P(A) ≠ 0. P(B/A) if (i) A is a subset of B (ii) A ∩ B = ∅ are respectively</p>
<p>(a) 0 and 1</p>
<p>(b) 1 and 0</p>
<p>(c) 1 and 1</p>
<p>(d) 0 and 0</p>

Step-by-Step Solution

Key Concept: Conditional probability P(B/A) = P(A ∩ B)/P(A). When A ⊆ B, their intersection is A itself. When A and B are disjoint, their intersection is empty.
<p><strong>Step 1:</strong> When A is a subset of B, A ∩ B = A, so P(B/A) = P(A ∩ B)/P(A) = P(A)/P(A) = 1</p><p><strong>Step 2:</strong> When A ∩ B = ∅, P(B/A) = P(A ∩ B)/P(A) = 0/P(A) = 0</p><p>∴ Answer is (b) 1 and 0</p>
Correct Answer: B

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