Two numbers are selected at random from integers 1 through 9. If the sum is even, find the probability that both the numbers are odd.

Explanation

To solve the problem, we need to find the probability that both selected numbers are odd given that their sum is even. We will follow these steps:

### Step 1: Identify the total numbers and their types
The integers from 1 to 9 consist of:
- Odd numbers: 1, 3, 5, 7, 9 (Total = 5)
- Even numbers: 2, 4, 6, 8 (Total = 4)

### Step 2: Determine the conditions for the sum to be even
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