A bag contains total 30 balls out of which 9 are red, 12 are white and 9 are blue. Two balls are drawn in succession without replacement.
What is the probability that first is red and second is white?
Expert Answer
Let us first find probability that the first ball is red. For that we will need the following.
Since, there are total 30 balls out which 9 are red, we have:
Probability (P1), that the first ball is red, is now given as:
Let us now find probability that the second ball is white. For that we will need the following.
Since, one ball is already drawn; total balls left, now, are 29 out of which 12 are white. We have:
Probability (P2), that the second ball is white, is now given as:
Total probability that, first ball is red and second ball is white, will be the product of two individual probabilities obtained in previous steps.
