What is a good Yahtzee score?
A player who never makes a mistake averages 254.6, and half their games finish at 248 or better. That is the ceiling, not the bar — and the gap between those two numbers is the first clue that a Yahtzee score is mostly a story about dice.
The average is exact — it falls straight out of the solved game, no sampling involved. The median and the spread do not have a closed form, so they come from playing 300,000 games out under that same solved policy, which reproduces the exact average to within 0.11 and matches every figure the published reference gives for this problem.
Where does your score land?
A perfect player finishes at or below 200 in 14.6% of games, and beats it in 85.4%.
That is not a percentile against other people — it is against the best play the game allows. That sits below what perfect play usually manages — and perfect play still finishes at or below it in 14.6% of games, about one game in 7. A quiet night is not the same as a badly played one.
300,000 games played out under the solved optimal policy, grouped into 20-point bins. The highlighted bin is where 200 falls. The long right tail is the multi-Yahtzee bonus: 8.3% of games collect at least one, and each is worth 100.
How much of a Yahtzee score is just the dice?
Most of it. The figures on this page are all the same player — a policy that never misplays a single turn — so every bit of the spread below is luck, with skill held exactly constant. A quarter of those flawless games finish under 217, and a quarter finish over 272: a 55-point gap that owes nothing at all to how well the game was played.
So a disappointing game is not much evidence of anything. One game in twenty goes below 179 even with perfect play, and one in a hundred below 151.
| Perfect play finishes below | This often |
|---|---|
| 151 | 1 game in 100 |
| 179 | 1 game in 20 |
| 217 | 1 game in 4 |
| 248 | Half its games |
| 272 | 3 games in 4 |
| 318 | 9 games in 10 |
| 484 | 99 games in 100 |
Where the points actually come from
Averaged over every game, the single biggest contributor is Large Straight at 32.76 points a game, and the smallest is Ones at 1.88. The upper-section bonus is worth 23.75 a game on average, because optimal play earns it 67.8% of the time — which is the strongest argument going for steering at the 63 target early rather than hoping it happens.
| Category | Points per game | Scores zero |
|---|---|---|
| Large Straight | 32.76 | 18.1% |
| Small Straight | 29.45 | 1.8% |
| Full House | 22.59 | 9.6% |
| Chance | 22.00 | 0.0% |
| Three of a Kind | 21.69 | 3.2% |
| Sixes | 19.19 | 0.5% |
| Yahtzee | 16.98 | 66.0% |
| Fives | 15.68 | 0.5% |
| Four of a Kind | 13.10 | 36.5% |
| Fours | 12.15 | 0.6% |
| Threes | 8.54 | 1.0% |
| Twos | 5.27 | 1.8% |
| Ones | 1.88 | 10.9% |
Even playing perfectly, the Yahtzee box is empty in 66.0% of games and Four of a Kind in 36.5%. Zeros are not mistakes; they are the game.
Why there is no “average player” number here
Plenty of sites will tell you the average Yahtzee score is 150, or 200, or 250. We have not measured that and so we do not print it. Every figure above is a property of one specific, fully-specified player — the solved optimal policy — played out over 300,000 games, and it can be checked by anyone who wants to reproduce it. A number for “typical human play” would need a sample of real human games, which is a different project and not one this site has done.
What the optimal distribution can tell you is the honest version of the question: if your score would have taken the best possible player a good night to reach, it was a good night.