Question

In one state lottery​ game, you must select four digits​ (digits may be​ repeated). If your number matches exactly the four digits selected by the lottery​ commission, you win. ​a) How many different numbers may be​ chosen? ​b) If you purchase one lottery​ ticket, what is your chance of​ winning? socratic.org

Answer 1

0.0001

Explanation:

Given that in one state lottery​ game, you must select four digits​ (digits may be​ repeated). If your number matches exactly the four digits selected by the lottery​ commission, you win

One digit only wins the price.

Total number of digits that can be formed with repitition =
`10^4 = 10000`

Probability for winning = Chance for winning

= selecting one particular ticket out of 10000

=
`(1)/(10000) \\=0.0001`

answre is 0.0001