Please help me solve this question!! Thank you!!! : )

To win the Powerball jackpot, the winner must choose 5 numbers from 1 to 59, order is negligible, and one Powerball number from 1 to 35.
Using the appropriate formulas, calculate the probability of winning Powerball. State your answer in the form of a fraction and as a percentage.
Show your work.

Would this be correct?

Since numbers can be repeated, there are 59 possibilities for each of the first 5 numbers, and 35 for the 6th number. Therefore:

1/((59^5)*35) = 1/(25022350465) = 3.99643 x 10^-11 %

Question

Please help me solve this question!! Thank you!!! : )

To win the Powerball jackpot, the winner must choose 5 numbers from 1 to 59, order is negligible, and one Powerball number from 1 to 35.
Using the appropriate formulas, calculate the probability of winning Powerball.  State your answer in the form of a fraction and as a percentage.
Show your work.

Would this be correct?

Since numbers can be repeated, there are 59 possibilities for each of the first 5 numbers, and 35 for the 6th number. Therefore:

1/((59^5)*35) = 1/(25022350465) = 3.99643 x 10^-11 %

blockcolder · Answer

P(winning the jackpot)=1/(number of possible combinations of numbers)
So your main problem is counting the number of possible combinations of numbers.

ybarrap · Answer

How many ways can you choose 5 numbers out of 59, without replacement?

ybarrap · Answer

Multiply that with the number of ways of choosing 1 ball out of 35. Once you have this, use @blockcolder 's formula

anonymous · Answer

Thank you @ybarrap  this helped a bunch! Thanks also @blockcolder =)