SOLUTION: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2 ha

Algebra ->  Probability-and-statistics -> SOLUTION: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2 ha      Log On


   

Question 924132: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 1 white and 4 red balls, and urn 2 has 3 white and 2 red balls.
If a white ball is drawn, what is the probability it came from urn 1?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
a ball is withdrawn from the chosen urn
P(A|B) = P(A and B)/P(B)
P(Urn1 | white) = +%281%2F5%29%2F%281%2F5+%2B+3%2F5%29+=+1%2F4