Three digital 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 the number has the same digits?
1. 1/16
2. 1/25
3. 16/25
4. 1/645
1. 1/16
2. 1/25
3. 16/25
4. 1/645
Correct Answer – Option 2 : 1/25
Concept:
A 3-digit number cannot start with digit 0
Calculations:
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. T
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