Explanation:

- Raj has 10 pairs of red shoes, which means he needs to draw 2 red shoes to form a complete pair.

- He also has 9 pairs of white shoes (18 single shoes) and 8 pairs of black shoes (16 single shoes).

- If every shoe Raj picks is not red, he might end up with all the white and black shoes before forming a red pair.

- That's a total of 18 (white) + 16 (black) = 34 non-red shoes.

- After these 34 attempts, the next 2 shoes picked will necessarily be red, resulting in a red pair.

- Therefore, he might have to pick a maximum of 36 shoes to find a red pair.

- Based on these calculations, the correct option is Option 2: 36.

Option 2: 36

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