A bag contains 3 red, 4 blue and 5 white balls. Three balls are taken at random without replacement. Find the probability that one of each colour is taken.

Answer and explanation

Correct answer: A.

  1. Step 1: One probability for the order red, blue, white is . Step 2. There are possible orders, so multiply by 6: . **Answer: . Why not the others:** : That is for selection with replacement, in one order only. : That counts one order only. : That counts only three of the six orders.

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