Multiple choice

A box contains 15 balls. Out of these balls, five are of different colours and the rest are of white colour. Five balls are drawn at random from the box. What is the probability that four balls are coloured and one is white?

  1. 25 1001

  2. 35 2002

  3. 45 2121

  4. 50 3003

  5. 100 3003
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The total number of ways to choose 5 balls from 15 is 15C5 = 3003. The number of ways to choose 4 coloured balls from 5 is 5C4 = 5, and 1 white ball from 10 is 10C1 = 10. The probability is (5 * 10) / 3003 = 50 / 3003.

AI explanation

The total number of ways to draw five balls from fifteen is given by the combination formula 15C5, which equals 3003. The number of ways to choose four colored balls from the five available is 5C4, and the number of ways to choose one white ball from the ten available is 10C1, so multiplying these gives 50 successful combinations. Therefore, the required probability is 50/3003.

Keep practicing — related questions