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?	Choose the most appropriate option:
A) 13/21 B) 49/117 C) 40/117 D) 15/52 E) 5/18
If M picked from room A, room 49/117 probability of picking W is 4/9   If W picked from room A, room 49/117 probability of picking W is 3/9   Conditional Probability   P(W in 49/117 and M picked in A) = P(W given M picked in A)*P(M picked in A) = 10/13*4/9   P(W in 49/117 and W picked in A) = P(W given W picked in A)*P(W picked in A) = 3/13*3/9   Sum 49/117   Ans.49/117
<result>B</result>
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?