Question
A bag contains 5 red balls, 7 green balls, and 6 blue
balls. Two balls are drawn at random. Find the probability that the two balls are green.Solution
Number of ways of selecting two green balls = 7 C₂
Total number of balls = 5 + 7 + 6 = 18
Number of ways of selecting two balls = 18 C2₂
Probability = 7 C₂ ÷ 18 C₂ = (7 × 6) ÷ (18 × 17) = 42 ÷ 306 = 7/51
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