I need these solutions in 3 hours.

I've 2 boxes. THe first box has 2 new and 3 old balls. The second box has 3 new and 4 old balls. I took one ball from the first box and put it into the second box. Now I take the ball from the second box.

What's the probability that:

1) The ball taken from the second box is new.

2) The ball taken from the first box was new if I know that the ball taken from the second box was old.

Answers

1) 17/40

2) 8/23