Class CBSE Class 12 Mathematics Probability Q #688
KNOWLEDGE BASED
UNDERSTAND
1 Marks 2024 AISSCE(Board Exam) MCQ SINGLE
Let E be an event of a sample space S of an experiment, then \(P(S|E)=\)
(A) \(P(S\cap E)\)
(B) \(P(E)\)
(C) 1
(D) 0
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Correct Answer: C

AI Tutor Explanation

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Step-by-Step Solution

The question asks for the value of \(P(S|E)\), which is the probability of the sample space S occurring given that event E has occurred.

By the definition of conditional probability, \(P(S|E) = \frac{P(S \cap E)}{P(E)}\)

Since E is an event in the sample space S, \(S \cap E = E\). Therefore, \(P(S \cap E) = P(E)\)

Substituting this into the conditional probability formula, we get \(P(S|E) = \frac{P(E)}{P(E)} = 1\)

Correct Answer: 1

AI Suggestion: Option C

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Pedagogical Audit
Bloom's Analysis: This is an UNDERSTAND question because it requires students to recall and understand the definition of conditional probability.
Knowledge Dimension: CONCEPTUAL
Justification: The question tests the understanding of the concept of conditional probability and how it relates to the sample space.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. It directly tests a definition or formula from the textbook.

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