A box A contains 7 counters of which 4 are green and 3 are blue.

A box B contains 5 counters of which 2 are green and 3 are blue.

A counter is drawn at random from box A and placed in box B. A second counter is drawn at random from box A and placed in box B.

A third counter is then drawn at random from the counters in box B.

a) Draw a tree diagram to show the situation.

The event C occurs when the 2 counters drawn from box A are of the same colour.

The event D occurs when the counter drawn from B is blue.

b. Find P( C )