Difference in Dice

What this basic probability question tests

This is an easy probability question that appears frequently in quant interview screening rounds. It tests whether you can enumerate outcomes systematically, calculate a simple ratio, and work confidently with discrete probability on a finite sample space.

To solve problems of this type, you count the total number of equally likely outcomes when rolling two dice, identify which outcomes satisfy the given condition (in this case, a constraint on the absolute difference), and express the ratio as a probability. The main skill being assessed is careful case enumeration and avoiding arithmetic errors under time pressure.

• Sample space and outcome counting for independent events
• Translating verbal conditions into mathematical constraints
• Simplifying fractions or comparing decimal probabilities