Question

Question :

Illinois conducts a lottery every day. Participants select three numbers between 0 and 9. A number cannot be selected more than once so a 3-digit number could be 307, for example, but not 337. Purchasing one ticket allows you to select on a set of numbers. The winning number is announced on TV every night. If you purchased a ticket for $5 in Illinois and won, how much would you get if Illinois paid you according to your actual mathematical probability of winning?

Calculate the total number of possible.

Answer 1

Dear the question misses the information about how much money they would pay for a winning number.

Let I am assume $X be the amount they would pay.

Then total possible combinations of 3 digits are 10P3 = 720. Permutation , as order matters here. I.e, 012 , 035 , 102, 120 all are 3 digits as order matters here.

Probability of winning out of this 720 possible outcomes is 1/720

So an average amount the winner will get is $X * 1/720

I hope you will understand the concept.. If you're satisfied please Thumbs Up dear... Thanks