Question

A bag contains 10 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? Select the correct answer from above options

Answer 1

It is given that a bag contains 10 white and 15 black balls with each trial independent of the other. Consider success in the first draw be getting a white ball So the probability of success in the first trial P1 (success) = 10/25 Consider success in the second draw be getting a black ball So the probability of success in the second trial without replacement of the first draw P2 (success) = 15/24 Here the probability that first ball drawn is white and the second ball drawn is black with each trial being independent