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CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Q313 Markstotal_probability

CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Question 31 (Probability)

A debate is held with probability 1/3 and a quiz with probability 2/3. For debate choose two from team A (4 girls, 6 boys); for quiz choose two from team B (7 girls, 3 boys). Find the probability of one girl and one boy.

✅ Step-by-Step Solution

Final Answer: 22/45.
  1. With uniform sampling without replacement, the mixed-pair probability for A is 4·6/45=8/15.
  2. For B it is 7·3/45=7/15.
  3. Weight these by 1/3 and 2/3 respectively to get 22/45.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] With uniform sampling without replacement, the mixed-pair probability for A is 4·6/45=8/15.
  • [2 marks] For B it is 7·3/45=7/15.
  • [0.5 marks] Weight these by 1/3 and 2/3 respectively to get 22/45.

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All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/4/1

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