Question
A bag contains 2 black balls, 6 red balls, and 10 blue
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 = 10 C₂
Total number of balls = 2 + 6 + 10 = 18
Number of ways of selecting two balls = 18 C₂
Probability = 10 C₂÷ 18 C₂ = (10 × 9) ÷ (18 × 17) = 90 ÷ 306 = 5/17
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