CBSE Class 12 Mathematics Probability Q #690
KNOWLEDGE BASED
UNDERSTAND
1 Marks 2025 AISSCE(Board Exam) MCQ SINGLE
A coin is tossed and a card is selected at random from a well shuffled pack of 52 playing cards. The probability of getting head on the coin and a face card from the pack is :
(A) \(\frac{2}{13}\)
(B) \(\frac{3}{26}\)
(C) \(\frac{19}{26}\)
(D) \(\frac{3}{13}\)
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Correct Answer: B

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Step-by-Step Solution

Probability of getting a head on the coin = \(\frac{1}{2}\)

Number of face cards in a pack of 52 cards = 12 (Jack, Queen, King of each suit)

Probability of getting a face card = \(\frac{12}{52} = \frac{3}{13}\)

Since the two events are independent, the probability of both events occurring is the product of their individual probabilities.

Required probability = \(\frac{1}{2} \times \frac{3}{13} = \frac{3}{26}\)

Correct Answer: \(\frac{3}{26}\)

AI Suggestion: Option B

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Pedagogical Audit
Bloom's Analysis: This is an UNDERSTAND question because the student needs to comprehend the concepts of probability and independent events to solve the problem. They must understand how to calculate the probability of each event separately and then combine them.
Knowledge Dimension: CONCEPTUAL
Justification: The question requires understanding the concepts of probability, independent events, and how to calculate probabilities in combined events. It's not just recalling facts but applying the understanding of these concepts.
Syllabus Audit: In the context of CBSE Class 12, this is classified as KNOWLEDGE. The question directly tests the student's understanding of probability concepts as covered in the textbook.

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