a. What is the probability of the digit in the ten’s place to be larger than the digit in the one’s place?

Question

In selecting a two-digit number up to 50. 

a. What is the probability of the digit in the ten’s place to be larger than the digit in the one’s place? 

b. What is the probability of the digit in the tens place to be smaller than the digit in the one’s place?

Answer 1

Total numbers of two-digit numbers up to 50 = 41

a. Number of numbers with the digit in the tens place to be larger than the digit in the units place = 11

Probability that the number with tens place digit is larger than the digit in the unit place = 11/41

b. Probability that the number with the tenth place digit is smaller than the digit in the unit place = 26/41