Dice Roll Simulation
A hard-tier problem at 50% community acceptance, tagged with Array, Dynamic Programming. Reported in interviews at Akuna Capital and 0 others.
You're staring at a dice-roll DP problem that shows up at quantitative finance shops like Akuna Capital. The acceptance rate is 50%, which means half the candidates either nail the state transitions or get tangled in how to count outcomes across multiple dice rolls. Most people's instinct is to brute-force all possible sequences; they don't see the DP substructure until they hit a time limit. StealthCoder spots the pattern instantly if you freeze during your OA and surfaces a working solution before the proctor notices you're stuck.
Companies that ask "Dice Roll Simulation"
Dice Roll Simulation is the kind of problem that decides whether you pass. StealthCoder reads the problem on screen and surfaces a working solution in under 2 seconds. Invisible to screen share. The proctor sees nothing. Built by an Amazon engineer who used it to pass JPMorgan's OA and system design loop.
Get StealthCoderThis problem asks you to count or compute probabilities across dice rolls, which lives in classic DP territory. The trick isn't the dice mechanic itself, it's recognizing that each roll state depends only on the previous roll's cumulative outcomes. Build a table where each cell represents the number of ways to reach a target sum with a given number of dice. The naive approach tries to enumerate all 6^n sequences; the DP approach fills a 2D array in O(n*target) time. Common misstep: forgetting to handle boundary conditions (what's reachable on the first roll), or overcounting by not isolating each die's contribution. If the problem asks for probabilities instead of counts, you'll divide by 6^n at the end. StealthCoder handles both variants and keeps your assessment on track.
Pattern tags
You know the problem.
Make sure you actually pass it.
Dice Roll Simulation recycles across companies for a reason. It's hard-tier, and most candidates blank under the timer. StealthCoder is the hedge: an AI overlay invisible during screen share. It reads the problem and surfaces a working solution in under 2 seconds. Built by an Amazon engineer who used it to pass JPMorgan's OA and system design loop. Works on HackerRank, CodeSignal, CoderPad, and Karat.
Dice Roll Simulation interview FAQ
Is this problem actually hard, or is the difficulty rating inflated?+
The 50% acceptance rate suggests it's legitimately hard. It's not a trick question, but the DP formulation isn't obvious if you've never built a multi-dice state table before. The difficulty spike comes from optimizing away the exponential brute-force. Candidates comfortable with 2D DP typically solve it, others don't.
What's the core insight that makes this solvable?+
Recognize that the number of ways to reach sum S with N dice depends only on the number of ways to reach each sum with N-1 dice, plus the contribution of the current die's faces. This transforms exponential enumeration into linear DP table updates. That's the pattern the problem tests.
Do I need to think about rolling dice in a specific order?+
No. Order doesn't matter for counting total outcomes. What matters is that each die can land on 1 through 6, and you track cumulative sums. The DP table isolates the contribution of each die roll, so you don't care which physical die is 'first'.
How does this relate to the Array and Dynamic Programming topics?+
The Array is your DP table, typically 2D: one dimension for number of dice, the other for target sum. Dynamic Programming is the algorithm: fill the table bottom-up, where each cell's value depends on cells from the previous row. Both topics are structural, not decorative.
Will Akuna Capital ask this at every level, or just certain roles?+
Akuna is a quant shop, so DP and probability questions appear in roles that involve modeling and risk. This problem bridges both domains. It's not everywhere, but if you're interviewing there and dice probability comes up, you're in an advanced round. The 50% acceptance suggests it's a serious screen.
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