Multiple choice

A bag contains 3 green and 7 white balls. Two balls are drawn from the bag in succession without replacement. What is the probability that both are white?

  1. 1/ 7

  2. 5/ 11

  3. 7/ 11

  4. 7/ 15

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total balls = 10. Probability of first white = 7/10. Probability of second white (without replacement) = 6/9 = 2/3. Total probability = (7/10) * (2/3) = 14/30 = 7/15.

AI explanation

Using the multiplication theorem for dependent events, the probability that the first ball is white is 7/10 and the probability that the second ball is white is 6/9. Multiplying these gives 42/90. This fraction simplifies to 7/15.