Three digit numbers are formed with the digits `0,2,4,6` and `8`. Write the probability of forming a three digit number with the same digits.

Explanation

To solve the problem of finding the probability of forming a three-digit number with the same digits using the digits `0, 2, 4, 6, and 8`, we will follow these steps:

### Step 1: Determine the total number of three-digit numbers that can be formed.

1. **Identify the valid digits**: The digits available are `0, 2, 4, 6, and 8`.
2. **First digit selection**: The first digit of a three-digit number cannot be `0` (as it would then be a two-digit number). Therefore, the possible choices for the first digit are `2, 4, 6, 8`. This gives us **4 options**.
3. **Second and third digit selection**: Since repetition of digits is allowed, the second and third digits can be any of the 5 digits (`0, 2, 4, 6, 8`). Therefore, for each of these positions, we have **5 options**.

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