Multiple choice

Balls marked 1 to 15 are mixed up and put in a bucket. Then one ball is drawn at random. What is the probability that the ball drawn has a number which is a multiple of 2 or 3?

  1. 1/3

  2. 2/3

  3. 1

  4. 4/3

  5. 5/3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Here, total possibilities, S = {1, 2, 3, ...,15} or n(S) = 15

Let E = event of getting a multiple of 2 or 3 = {2,3,4, 6 ,8, 9,10, 12,14, 15}or n(E) = 10.

Then, the required probability, P(E) = n(E)/n(S) = 10/15 = 2/3.

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