An urn contains m white and n black balls.
Question:

An urn contains white and black balls. A ball is drawn at random and is put back into the urn along with additional balls of the same colour as that of the ball drawn. A ball is again drawn at random. Show that the probability of drawing a white ball now does not depend on k.

Solution:

Let’s consider A to be the event of having m white and n black balls

E1 = First ball drawn of white colour

E2 = First ball drawn of black colour

E= Second ball drawn of white colour

Therefore, the probability if drawing a white ball does not depend upon k.

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