Strictly Increasing Dice

What this strictly increasing sequence probability question tests

This is an easy probability question that asks you to count favorable outcomes and compute a probability as a ratio. It is common in quant interview screens because it requires clear thinking about combinatorics and independence, rather than heavy computation.

To solve problems like this, you typically enumerate all possible outcomes for the experiment, identify which ones satisfy the constraint (in this case, strict ordering), and express the ratio in simplest form. The key insight is recognizing that the constraint significantly reduces the number of valid sequences, and that a systematic counting approach—or a combinatorial argument—beats brute force.

• Counting outcomes in multi-step experiments
• Constraints and feasibility conditions
• Simplifying fractions and expressing probability as a ratio