I have these problems to turn in for tomorrow. I don't know the best way to solve them.

Please see if you can solve them and post your results along with calculations.

Problem 1:

In bowl A there are 4 red balls, 3 blue balls and 2 green balls.

In bowl B there are 2 red, 3, blue and 4 green.

One ball is taken from bowl A and put into bowl B.

After this is done one ball is taken from bowl B.

What are the odds that the ball, taken from bowl B, is red?

Problem 2:

Given are:

S1 = {1,2,3,4}

S2 = {1,2,3,4,5,6}

S3 = {1,2,3,4,5,6,7,8}

We pick one number randomly from S1, where there is an equal chance of picking any one number. We do the same with S2 and S3.

What are the odds that the sum of the numbers we picked are equal to 5?

Thanks in advance for all your help.