Question

A bag contains 1.0 white and 15 black balls. Two balls are drawn in succession without replacement. What is the probability that the first ball is white and the second is black?

Answer 1

Given: A bag containing 10 white and 15 black balls .Each trial is independent of the other trial.

To find: the probability that the first ball is drawn is white and the second ball drawn is black.

Let , success in the first draw be getting a white ball.

Now , the Probability of success in the first trial is

P₁(success) = \(\frac{10}{25}\)

Let success in the second draw be getting a black ball.

Probability of success in the second trial without replacement of the first draw is given by

P₂(success) = \(\frac{15}{24}\)

Hence , the probability that the first ball is drawn is white and the second ball drawn is black,with each trial being independent is given by