A bag contains 15 balls, out of which some are white and the others are black. If the probability of drawing a black ball at random from the bag is 2 3 ,   then find how many white balls are there in the bag.

# A bag contains 15 balls, out of which some are white and the others are black. If the probability of drawing a black ball at random from the bag is   then find how many white balls are there in the bag.

1. A
2
2. B
3
3. C
6
4. D
5

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### Solution:

It is given that a bag contains 15 balls, out of which some are white and the others are black. Also the probability of drawing a black ball at random is  .
So, the total number of balls is 15.
Total favorable outcomes = probability of blackball + probability of white ball
Total favorable outcomes = 1
Probability of white ball = 1 - the probability of the black ball
Probability of drawing a white ball
Probability of drawing a white ball
The formula of the probability of an event is the number of favorable outcomes divided by the total number of outcomes.
Let E be an event that the ball drawn is white.

Substituting the values,

no. of favorable outcomes
no. of favorable outcomes = 5
Therefore, the number of white balls is  .
Hence, the correct option is 4.

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