I'm having trouble answering part b in this problem. I am very bad with combinations and since there are many parts to follow, I was hoping someone might be able to explain it to me. When I did it I got like 10 options, which I know isn't correct.

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- Sep 28th 2012, 01:58 PMrenolovexoxoLottery Probability
I'm having trouble answering part b in this problem. I am very bad with combinations and since there are many parts to follow, I was hoping someone might be able to explain it to me. When I did it I got like 10 options, which I know isn't correct.

- Sep 28th 2012, 03:08 PMSorobanRe: Lottery Probability
Hello, renolovexoxo!

Quote:

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.

Quote:

(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.