A palindrome is a number that reads the same forward as backward. If a three-digit palindrome is randomly chosen, what is the probability that it is a multiple of 2?
To be a multiple of 2, it would have to have a one's digit of 2, 4, 6, 8. (0 is not included as you cannot have a hundredths digit with a 0.) This makes all the possible palindromes xyx, where x is one of these digits, and y is any digit. This gives 4 possibilities for x, and 10 possibilities for y, creating 40 even palindromes. To find all of the 3 digit palindromes, it is again in format xyx, but in this case x can be any number giving 100 possibilities (10*10). 40/100 = 2/5 probability.