Question

Suppose two different states each pick a two-digit lottery number between 00 and 99 (for a 100 possible numbers).

a.what is the probability that both states pick the number 13?
b.what is the probability that both states pick the same number?

Answer 1

a. 1/10000 because it is a 1/100 chance for each.
b. 1/100 because there are 10,000 options and 100 of them are the same options. Simplify for the answer.