Question

26. A bag contains 15 balls of which some are white and others are red. If the probability
of drawing a red ball is twice that of a white ball, find the number of white balls in
the bag.​

Answer 1

26. A bag contains 15 balls of which some are white and others are red. If the probability

of drawing a red ball is twice that of a white ball, find the number of white balls in

the bag.

Answer 2

The total no of balls is 15 (given)

Let the number of white balls be x.

Then the number of red balls =15−x.

The probability of drawing a white ball =x/15.

Probability of drawing a red ball =(15−x)/15

Given the probability of drawing a red ball is twice that of a white ball.

(15−x)/15=2×(x/15)

15−x=2x

3x=15

x=15/3=5

Hence the number of white balls is 5.

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