A box contains 5 red, 3 blue, and 2 green balls. If 2 balls are drawn at random, what is the probability that both are of the same color?
Q1. A box contains 5 red, 3 blue, and 2 green balls. If 2 balls are drawn at random, what is the probability that both are of the same color?
Answer: 14 / 45
Explanation: Total balls = 10, total ways to draw 2 balls = 10C2 = 45. Ways to draw 2 red = 5C2 = 10, 2 blue = 3C2 = 3, 2 green = 2C2 = 1. Total same color = 10 + 3 + 1 = 14. Probability = 14 / 45.