Question

1 13. To play Wisconsin Power Ball, you select 5 different numbers from 1 through 59 and powerball number from 1 through 39. The powerball can match a previously selected number. a. How many different ways are there to select all 6 numbers? b. What is the probability of matching all 6 numbers?

Answer 1

We have to select 5 different numbers from 1 to 59, this can be done in^59 C_5 ways, For each choice 6 - th number can be chosen in 39 ways Therefore There are 59 C_5 times 39 different ways to select all 6n numbers. Since we are selecting 5 different numbers from 1 to 59 for playing, it is never possible to match all 6 number. Therefore probability of matching all 6 numbers is 0.