probability of colours of balls

the question is :

(b) Box 1 contains six red balls and four green balls and box 2 contains seven red balls and three green balls. A ball is chosen at random from box 1 and placed in box 2. A ball is then chosen at random from box 2 and placed in box 1.

Calculate

(i) the probability that a red ball is selected from both box 1 and box 2;

(ii) the probability that, at the conclusion of the selection process, there are again six red balls and four green balls in box 1.

thanks

(Wink)