The following table shows the probability of selecting the boxes A, B and C and the number of balls of different colours contained in them.

Step-by-step solution

Probability of green ball P(G) aligned & = 1 2 2 6 + 1 3 3 6 + 1 6 1 6 = 1 6 + 1 6 + 1 36 & = 6+6+1 36 = 13 36 aligned Let probability of drawn ball is green comes from bag C is P ( C G ) , then P ( C G )= P ( G C ) P(C) P(G) = 1 6 1 6 13 36 = 1 36 36 13 = 1 13