Answer:
The probability that the chosen ball came from urn B, given that it was a yellow ball is .
Step-by-step explanation:
Given information:
Urn A : 4 yellow and 6 red balls
Urn B : 10 yellow and 5 red balls
Urn C : 11 yellow and 12 red balls
Let A,B and C are events that bag A,B and C are selected respectively.
E be the event that a yellow ball is drawn.
The probability that a yellow ball is drawn from urn A.
The probability that a yellow ball is drawn from urn B.
The probability that a yellow ball is drawn from urn C.
We need to find the probability that the chosen ball came from urn B, given that it was a yellow ball.
Therefore the probability that the chosen ball came from urn B, given that it was a yellow ball is .