Multiple choice

A bag contains 5 white and 3 black balls. Two balls are drawn at random. The probability that the drawn balls are of different colours, is equal to

  1. 2/7

  2. 15/28

  3. 3/7

  4. 4/7
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total ways to draw 2 balls from 8 is 8C2 = 28. Ways to get different colors (1 white, 1 black) is 5C1 * 3C1 = 5 * 3 = 15. Probability = 15/28.

AI explanation

Using the combination method, the total number of ways to draw 2 balls from the 8 available is 8C2, which equals 28. The favorable outcomes of drawing one white and one black ball are calculated by multiplying 5C1 and 3C1, which equals 15. Dividing the 15 favorable outcomes by the 28 total outcomes gives a probability of 15/28.

Keep practicing — related questions