Question

2) A number in the set {50, 51, 52, 53, ..., 999} is randomly selected. What is the probability that thenumber selected is a two-digit number? Express your answer as a common fraction.

Answer 1

To answer this questions we have to count how many numbers are in the set and how many of them are two digits numbers.

In the set given there are 950 numbers, of those numbers there are 49 two digits numbers, then the probability is:

$P=\frac{49}{950}$