Hello, renolovexoxo!

PowerBall: Five numbers are drawn from the set 1 - 59.

The Powerball is drawn from the set 1 - 35. The cost is $2 per play.

(a) Find the number of possible outcomes.

Five numbers are chosen from fifty-nine: . ways.

One Powerball is chosen: ways.

Therefore: . outcomes.

(b) Find the number of ways to match 3 numbers and the Powerball.

There are 5 "winners" and 54 "non-winners".

To match exactly three numbers

. . we must have 3 of the winners: . ways

. . and 2 of the non-winners: . ways.

To match the Powerball, there is way.

Therefore, there are: . ways.