Akuna Capital Probability & Mental Math Interview

The Akuna Capital Probability & Mental Math interview is stage 3 of 5 in the Akuna Capital interview process, after the Recorded Video Game Round. Format: 45-60 min - video. The core quant rounds: probability, expectation, combinatorics, and fast mental math, with follow-ups.

What the Probability & Mental Math tests

Dice, coins, and card EV classics are common.

QuantVault maps 30 practice problems to this round. By topic, the biggest groups are expectation (12), probability (11), combinatorics (6), statistics (1); by difficulty, 12 easy, 18 medium and 0 hard. 28 of them were reported by candidates who interviewed at Akuna Capital, most recently in Jul 2026.

• This material comes up in one live call with a trader, about 45 minutes: probability, brainteasers, quoting markets on dice or cards, and basic options.

How to prepare for the Probability & Mental Math

• Estimate first, then formalize.
• Drill EV and combinatorics -- dice, coins, cards, fair value.
• Keep the mental math fast throughout.

Further reading: Mental math for trading interviews · How quant superdays work · Behavioral questions at trading firms · Market-making game interview guide.

Question types in this round

The 4 largest question types in the Akuna Capital Probability & Mental Math practice set; across them the most common sub-topics are discrete probability, conditional probability, expected value, independence, first-passage and stopping times, geometric distribution. The questions themselves, with worked solutions, are in the round practice.

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