Question
A bag contains 3 black balls, 12 blue balls, and 3
yellow balls. Two balls are drawn at random. Find the probability that the two balls are blue.Solution
Number of ways of selecting two blue balls = 12 C₂
Total number of balls = 3 + 12 + 3 = 18
Number of ways of selecting two balls = 18 C₂
Probability = 12 C₂ ÷ 18 C₂ = (12 × 11) ÷ (18 × 17) = 132 ÷ 306 = 22/51
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