Difference of 100s

What this probability question tests

This is a medium-difficulty probability problem that asks you to reason about the distribution of differences between randomly sampled integers in a constrained range. It rewards careful enumeration and a structured approach to counting favorable outcomes.

To solve problems like this, you'll need to identify the sample space (all possible pairs of 3-digit numbers), determine which pairs satisfy the constraint (their difference falls in a specific range), and compute the ratio. The key is recognizing which differences are possible and counting them systematically rather than trying to brute-force every combination.

• Sample space definition for discrete uniform distributions
• Counting techniques for constrained outcomes
• Symmetry and complementary counting