Class CBSE Class 12 Mathematics Probability Q #827
KNOWLEDGE BASED
UNDERSTAND
1 Marks 2023 MCQ SINGLE
If for any two events A and B, P(A)=4/5 and P(A ∩ B)=7/10, then P(B/A) is equal to
(A) 1/10
(B) 1/8
(C) 7/8
(D) 17/20
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AI Tutor Explanation

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Step-by-Step Solution

We are given P(A) = 4/5 and P(A ∩ B) = 7/10.

We need to find P(B/A), which is the conditional probability of B given A.

The formula for conditional probability is: P(B/A) = P(A ∩ B) / P(A)

Substituting the given values, we get: P(B/A) = (7/10) / (4/5)

P(B/A) = (7/10) * (5/4) = 35/40 = 7/8

Correct Answer: 7/8

AI Suggestion: Option C

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Pedagogical Audit
Bloom's Analysis: This is an UNDERSTAND question because it requires the student to recall and apply the formula for conditional probability.
Knowledge Dimension: CONCEPTUAL
Justification: The question tests the understanding of the concept of conditional probability and its formula.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question directly tests a formula from the textbook.

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