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About this game: what it is and where it appears in interviews

Jane Street Market-Making Interview Game: Three Hidden Dice

This is a market-making round of the kind Jane Street runs at the superday. You quote a bid and an ask on an uncertain quantity, often the minimum of several dice, and the counterparty trades against you. Dice are revealed as you go, so the round tests whether your fair value keeps up with new information.

This game follows that structure: three hidden dice (D24, D64, D128), five rounds, and a market on the min. Each round brings a tougher counterparty, with a tighter spread in round 3 and an auction to see the hidden D24 in the last two. After the run, every quote is reviewed against the fair value at that turn.

Where does this round appear?

A market-making round, usually at the superday. The interviewer asks for a bid and an ask on an uncertain quantity, often built from dice, trades against you and reveals information as you re-quote. You are judged on fair-value accuracy, spread discipline and how you react to being traded against.

How do you price the min of three dice?

Price only what is still hidden. Once the D64 and D128 are shown, only the D24 is uncertain: if the smaller shown face is low, the min is almost certainly that face, and if it is high, the min is mostly set by the D24. For example, a smaller shown face of 30 gives a fair value of 12.5, the D24's average.

What do interviewers look for?

A defensible fair value, a spread that matches your uncertainty, quick updates when information arrives, and awareness of adverse selection: if the counterparty keeps hitting only one side of your market, your quote is probably off. Recovering calmly after a losing trade counts more than any single fill.

How does the dice market-making game work?

Three dice with different face counts (here D24, D64 and D128) are rolled hidden and you quote a market on the minimum. The D128 and then the D64 are shown before your second and third quotes, while the D24 stays hidden unless you buy it in an auction round. Your trades settle against the true minimum at the end of the round.