Question

numbers that are palindromes read the same forward and backwards. for example, 30203 is a five digit palindrome. if a single number is chosen randomly from the set of all three digit numbers, find the probability that it will be palindromic

Answer 1

Beautiful problem ! ! There are (999-99)=900 three-digit numbers. To make a palindrome, you have 9 choices for the first and last digit, and 10 choices for the middle one ... total (9 x 10) = 90 palindromes. Probability = 90/900 = 10% that a random 3-digit number is a palindrome.