Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

counting and probability intermediate

Problem

What is the probability that the square root of a randomly selected two-digit whole number is less than eight? Express your answer as a common fraction.
Solution
There are 90 choices for a two-digit positive integer. Of these, all of the integers satisfy . So, can be chosen from the set which has 54 members. So the probability is .
Final answer
\frac{3}{5}