Two integers are selected at random from integers 1 through 11. 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 integers are odd given that their sum is even. Let's break down the solution step by step.

### Step 1: Identify the integers
The integers we are considering are from 1 to 11:
- Odd integers: 1, 3, 5, 7, 9, 11 (Total = 6)
- Even integers: 2, 4, 6, 8, 10 (Total = 5)

### Step 2: Determine the conditions for an even sum
...