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.