Question

Three digit numbers are formed using the digits 0, 2, 4, 6, 8. A number is chosen at random out of these numbers. What is the probability that this number has the same digits?

(A)1/16 

(B)16/25 

(C)1/645 

(D)1/25

Answer 1

(D) is the correct answer. Since a 3-digit number cannot start with digit 0, the hundredth place can have any of the 4 digits. Now, the tens and units place can have all the 5 digits. Therefore, the total possible 3-digit numbers are 4 × 5 × 5, i.e., 100.

The total possible 3 digit numbers having all digits same = 4

Hence, P (3-digit number with same digits) =4/100 = 1/25