Mathematics · Probability
A bag contains '0.5T' balls of three different colours: pink, violet, and brown, where T represents a positive constant. The number of pink balls is 40% of the total number of balls, and the ratio of the number of brown balls to violet balls in the bag is 1:3 respectively. If three balls are drawn randomly from the bag, find the probability that all three balls are of different colours, given that the total number of balls is 20.
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