engineering mathematics MCQ #4026

A box contains 4 red, 5 white, and 6 blue balls. If 3 balls are drawn at random, find the probability that they are of different colors.

engineering mathematics MCQ #4026

  1. Question 1

    Q1. A box contains 4 red, 5 white, and 6 blue balls. If 3 balls are drawn at random, find the probability that they are of different colors.

    • A) (4C1 * 5C1 * 6C1) / 15C3
    • B) (4 + 5 + 6)C3 / 15C3
    • C) (4C1 + 5C1 + 6C1) / 15C3
    • D) 4! * 5! * 6! / 15!

    Answer: (4C1 * 5C1 * 6C1) / 15C3

    Explanation: Choose 1 ball from each color in (4C1 * 5C1 * 6C1) ways. Total ways to draw 3 balls = 15C3.