Code Room
CodingMediumcod-g261
Subject Probability dpLevel Mid–Senior~30 minCommon in Algorithms & data structures interviewsIndustries Software development

Question

You repeatedly roll a fair k-sided die (faces 1..k) and accumulate the sum. You stop the moment the running total is >= target. Return the expected number of rolls, rounded to 6 decimal places. 1 <= k <= 20, 0 <= target <= 1000.

Implement
expected_rolls(k: int, target: int) → float
Examples
in[6,1]out1
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.