Hi there,

Let E1 and E2 respectively denote the events that a red ball is transferred from a bag 1 to 2 and a green ball is transferred from bag 1 to bag 2

P(E1)=4/6

P(E2)=2/6

LET A be the event that the ball drawn is green

(i) when a red ball is transferred from bag 1 to 2

P(A/E1)=5/9

2) when a green ball is transferred from bag 1 to 2

P(A/E2)=6/9

P(E2)/A= p(E2) p(A/E2)/ p(E1) p(A/E1) + p(E2)p(A/E2)

=3/8

Hope it helps you

Good luck!