Code Room
CodingMediumcod-g489
Subject Probability dpLevel Mid–Senior~25 minCommon in Algorithms & data structures interviewsIndustries Software development

Question

You roll `dice` fair dice, each with faces numbered 1..`faces`. Return the probability that the sum of the faces equals exactly `target`, rounded to 6 decimal places. If the target is unreachable the probability is 0.0.

Implement
dice_sum_probability(dice: int, faces: int, target: int) → float
Examples
in[2,6,7]out0.166667
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

Vibe coding: describe the solution in plain language (or narrate it) and the coach grades your approach. Generating runnable code from your description is coming next.

Run or narrate your approach, then ask the coach.