Question

There are 10 women and 3 men in room A. One person is picked at random from room A and moved to room B, where there are already 3 women and 5 men. If a single person is then to be picked from room B, what is the probability that a woman will be picked

Answer 1

The probability that a woman will be picked from room B is 0.34.

Explanation:

There are 13 persons in room A, which 10 are women. So, the probability that a woman gets picked to be transfer to room A is 10/13 = 0.77.

Then, in room B there will be a total of 9 persons, assuming that a woman got picked from room A, the probability of that a woman will be picked from room B is 9/4 = 0.44 x 0.77 = 0.34.