Question
A bag contains 5 pink balls, 10 grey balls, and 3 brown
balls. Two balls are drawn at random. Find the probability that the two balls are grey.Solution
Number of ways of selecting two grey balls = 10 C₂
Total number of balls = 5 + 10 + 3 = 18
Number of ways of selecting two balls = 18C₂
Probability = 10 C₂ ÷ 18 C₂ = (10 × 9) ÷ (18 × 17) = 90 ÷ 306 = 5/17
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