Multiple choice

A bag contains 5 black , 6 white balls and 3 red balls. Two balls are drawn at random. What is the probability that at least one ball is white ? A.9/13 B.3/10 C.1/2 D.6/11 E.None

  1. A

  2. B

  3. C

  4. D

  5. E
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total balls = 5+6+3 = 14. Total ways to draw 2 = 14C2 = 91. Ways to draw no white = 8C2 = 28. Ways to draw at least one white = 91 - 28 = 63. Probability = 63/91 = 9/13.

AI explanation

The total number of balls is 14, making the total ways to draw two balls 14C2, which equals 91. The probability of getting at least one white ball is found by subtracting the probability of getting zero white balls from one. The non-white balls total 8, so the ways to choose two non-white balls is 8C2, which equals 28. The calculation is 1 minus (28 divided by 91), resulting in 63/91, which simplifies to 9/13.

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