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A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random together. What is the probability that all three are of the same colour?

Competition practiceProbability & Permutation
  • A24/455
  • B6/91
  • C2/13
  • D34/455

Step-by-Step Solution

Total ways = C(15,3) = 455. Same-colour selections = C(4,3) + C(5,3) + C(6,3) = 4 + 10 + 20 = 34. Probability = 34/455.
Answer: D) 34/455

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