The event of getting a red ball

Question

A box has fifteen balls in it, nine white and six red. We select one ball, do not put it back in the box, and select a second ball. So we are selecting two balls from the box. Find the probability of each of the following scenarios:

Answer 1

You did not give the scenarios, but I will assume they are R-R, R-W, W-R, W-W:

 

R-R = 6/15 x 5/14 = 5/35

 

R-W = 6/15 x 9/14 = 9/35

 

W-R = 9/15 x 6/14 = 9/35

 

W-W = 9/15 x 8/14 = 12/35