Question

A bag contains 5 black and 6 white balls. 4 balls of the same colour (black or white) are added to the bag, shuffled well and one ball is drawn. If the ball obtained is white, what is the probability that the balls added are black?

Answer 1

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Answer 2

Given,

In a bag 5 black and 6 white balls are there.

4 balls were added.

To Find,

Find the probability of the balls added is black.

Solution,

Given that,

5 black and 6white balls are in a bag.

4balls of the same color were added.

Total ball = 15.

The drawn ball is white = W

Let's A denote that white balls are added.

B denotes black balls added.

Therefore,

P(W/B) = P(WB)/P(B)

P(B) = P(WB) + P(WA)

P(B) = 6/15 + 10/15

P(B) = 16/15

Therefore,

P(W/B) = (6/15) / (16/15)

P(W/B) =  3/8

3/8 is the probability that the black balls were added.