Urn A contains 5 red balls and 5 black balls, urn B contains 4 red balls and 8 black balls, and Urn C contains 3 red balls and 6 black balls. A ball is drawn from A, color unknown, and put into B. Then a ball is drawn from B, color unknown, and put into C. what is the probability that a ball now drawn from C will be red?
I tried drawing a tree to model the different possible outcomes of the event, but it didn't seem to work.
Thanks a bunch