There are 15 identical looking boxes. Each box contains a ball that is either red, green or blue. 5 balls are red, 5 ared green, and 5 are blue. The player is asked to open 5 boxes, with no replacement. The cost to play is 70 points.

Rewards

Zero Red Balls = 80 points

One Red Ball = 30 points

Two Red Balls = 0 points

Three Red Balls = 50 points

Four Red Balls = 70 points

Five Red Balls = 100 points

Let X be the number of points, not including the cost to play.

Calculate the probability of getting zero red balls and one red ball with solutions.