Login/Sign Up
An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k 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.
An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k 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.
CBSE | Class 12 | Exercise 1 | Maths | NCERT Exemplar | Probability
An urn contains m white and n black balls. A ball is drawn at random and is put back into the urn along with k 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.

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

\[{{E}_{1}}\] = First ball drawn of white colour

\[{{E}_{2}}\] = First ball drawn of black colour

\[{{E}_{3}}\]  = Second ball drawn of white colour

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

i

More Material