Question

A bas contains $4$ white, $7$ black and $5$ red balls. Three balls are drawn one after the other without replacement. Find the probability that the balls drawn are white, black and red respectively.

Answer 1

A bas contains 44 white, 77 black and 55 red balls Three balls are drawn one after the other without replacement probability that the balls drawn are white black red=$\frac{3!\times {4_C}_1\times {7_C}_1\times {5_C}_1}{{{16}_C}_3}=\frac{6\times 4\times 7\times 5\times 6}{16\times 15\times 14}=2/3$