What is the probability that the number is at most 60?

Question

A two digit number (at least 10, at most 99) is selected at random. What is the probability that the number is at most 60?

Answer 1

1 through 99 is 99 numbers

10 through 99 is 99-9 = 90 numbers

10 through 60 is 51 numbers

61 through 99 is 39 numbers

there are 51 ways to get at most 60 out of 99 possible outcomes

the probability of at most 60 is 51/99 = 17/33 = about 52% chance rounded to nearest integer percent