Question
A box contains 5 red, 4 blue, and 6 green balls. Two
balls are drawn at random. What is the probability that both balls are green?Solution
Total balls = 5 + 4 + 6 = 15. Total ways to choose 2 balls = 15C2 = (15 × 14) / 2 = 105. Ways to choose 2 green balls = 6C2 = (6 × 5) / 2 = 15. Probability = Favorable outcomes / Total outcomes = 15 / 105 = 1/7. Correct answer: a) 1/7
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