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A four-member cultural team is picked at random from the 5 boys and 6 girls of a Class 9 section. What is the probability that the team ends up with at least 3 girls?

Competition practiceProbability & Permutation
  • A10/33
  • B1/22
  • C23/66
  • D13/66

Step-by-Step Solution

Total = . Exactly 3 girls: . Exactly 4 girls: . Favourable = 100 + 15 = 115, so the probability is 115/330 = 23/66. Trap 10/33 = 100/330 stops at 'exactly 3 girls' and drops the all-girl team. Trap 1/22 = 15/330 keeps only the all-girl team. Trap 13/66 = 65/330 answers 'at least 3 boys' by reading the two groups the wrong way round.
Answer: C) 23/66

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