A two digit number is chosen at random. Find the probability that the number is less than 20

There are 90 two-digit numbers (10 to 99) in total.

Out of these, the numbers less than 20 are 10, 11, 12, 13, 14, 15, 16, 17, 18, and 19. So, there are a total of 10 numbers less than 20.

Therefore, the probability of choosing a number less than 20 is given by:

Probability = Number of favorable outcomes / Total number of outcomes
Probability = 10 / 90
Probability = 1/9

Therefore, the probability that the two-digit number chosen at random is less than 20 is 1/9.