Threes (Dice Game) Scoring, Explained

Threes inverts the instinct most dice games build: rolling a 3 isn't a modest result worth three points, it's worth nothing at all, and the entire game is won by the LOWEST total rather than the highest — which means the best possible single roll is the one that looks, at a glance, like the worst.

The core scoring rule

Each of the five dice is scored at its face value, EXCEPT any die showing a 3, which scores zero regardless of how many 3s are rolled. The player with the lowest total across their dice wins that round.

Worked example 1: an ordinary roll totaled

A player rolls 5-2-6-4-1. None of these are 3s, so every die counts at full face value: 5 + 2 + 6

• 4 + 1 = 18.

Worked example 2: 3s zeroing out part of the roll

A different player rolls 3-3-5-2-6. The two 3s score zero each, and the remaining three dice score normally: 0 + 0 + 5 + 2 + 6 = 13 — lower than the first player's 18, despite this roll containing two dice that would otherwise have added 6 points between them if 3s counted at face value.

Worked example 3: the best possible roll in the entire game

A player rolls all five dice as 3s: 3-3-3-3-3. Every single die scores zero: 0 + 0 + 0 + 0 + 0 = 0 — the lowest possible total achievable, and an outright win against any other roll in the game, since nothing can score lower than zero.

Worked example 4: comparing three players' totals to decide a round

Player A rolls 6-6-1-4-2: 6 + 6 + 1 + 4 + 2 = 19. Player B rolls 3-5-3-6-3: the three 3s score zero, leaving 0 + 5 + 0 + 6 + 0 = 11. Player C rolls 2-2-3-1-3: two 3s score zero, leaving 2 + 2 + 0 + 1 + 0 = 5. Player C has the lowest total and wins the round, followed by Player B, with Player A finishing last.

Worked example 5: how a re-roll option changes a bad opening throw

At tables allowing a single re-roll of any dice not showing a 3, a player's first roll comes back 6-6-5-3-4: the 3 scores zero and stays locked in, while the other four dice (6, 6, 5, 4 — totaling 21) are all eligible to be re-rolled. Rerolling those four, the player gets 1-3-2-6: one more 3 (zero), plus 1 + 2 + 6 = 9. Final total: the original locked-in 3 (0) plus the new roll's 9 = 9 — a dramatic improvement from what would have been a 21-point disaster on the original four dice alone.

Worked example 6: why holding back a good die instead of a 3 can backfire

A player rolls 3-4-2-5-6 and, misunderstanding the incentive, chooses to re-roll the single 3 (already scoring zero, and therefore already as good as that die can possibly be) while keeping the 4, 2, 5, and 6 locked in. The re-rolled 3 comes back as a 6: now scoring 6 + 4 + 2 + 5 + 6 = 23 — worse than simply leaving the original roll alone, since the only die that couldn't be improved (the 3, already at its floor of zero) is exactly the one that got rerolled, while every die genuinely worth improving stayed locked in unchanged.

Worked example 7: tracking wins across several rounds without a running point total

Because each round is simply won by whoever has the lowest total that round, most groups don't carry a cumulative point total across rounds at all — instead, they track wins: Player A wins round 1, Player C wins round 2, Player C wins round 3 again, and the group agrees the first player to win 3 rounds takes the match. Player C, needing one more round win, takes round 4 as well and wins the match, having never needed a single cumulative number added up across the whole session.

Worked example 8: a near-tie decided by a single die

Player A rolls 3-4-3-2-5: two 3s at zero, plus 4 + 2 + 5 = 11. Player B rolls 3-4-1-2-6: one 3 at zero, plus 4 + 1 + 2 + 6 = 13. The two totals look close at a glance — both players rolled mostly similar small numbers — but Player A's extra 3 (worth zero instead of whatever number it would otherwise have shown) is exactly what separates an 11 from a 13. In a game this reliant on how many 3s land rather than how high or low the remaining numbers are, a single extra 3 is often worth more than a whole die's difference in the non-3 numbers.

Worked example 9: why five dice makes variance more forgiving than fewer would

Because every roll uses all five dice at once rather than one at a time, a single unlucky high die (a lone 6 sitting among four 3s, for instance: 6 + 0 + 0 + 0 + 0 = 6) is rarely enough on its own to lose a round outright, since the other four dice are still very likely to be contributing close to nothing. This is part of why Threes plays faster and feels less swingy than dice games that build a score die by die across many separate rolls — nearly the entire outcome is decided in one throw of all five dice together.

The fastest way to total a roll

1. Identify every die showing a 3 first — each one scores exactly zero, no matter how many appear.
2. Add the face value of every remaining die normally.
3. Compare totals across all players for that round — the LOWEST total wins, the opposite direction from most dice games.
4. If a re-roll is available, prioritize rerolling the dice with the HIGHEST current face value, never a die already showing a 3, since a 3 is already at the best possible score it can produce.

For the full turn order and how many rounds a typical match actually runs, see the full Threes rules for the complete structure this scoring builds on.