Dice Sum Simulator with Fewer Repeats
Simulates dice sums whose individual faces weigh the recent results, keeping long streaks of one face rare. Faces and dice count match the standard sum probability tool.
What this simulator does
Fewer repeated faces
Each die weighs its own position's recent faces, so the same face repeats less.
Same conditions as the standard tool
Faces, dice count, start and pause, and the histogram view all match the standard sum probability tool.
Theory shown as a comparison baseline
The paired theory is the value for independent rolls. The measured rows deviate because this policy considers history.
How to use
Pick faces and dice
Choose the faces and set 1 to 20 dice. Changing them updates the theory table right away.
Run the trials
The primary button starts the observation loop; pause, resume and resetting this condition are available.
Compare measured and theory
The measured rates do not match the theory. Read the theory as the value for standard independent rolls.
When this helps
Watching sums without repetitive faces
For observing how the totals build up while the same face repeats less than a standard die.
Comparing with the standard tool
Run the same conditions on both tools to see what considering history changes.
Theory and measurement
The theory assumes independent rolls
The paired theory is exact for rolls that are independent and identically weighted. Do not treat it as the correct target for this page's trials; it is a comparison baseline.
The measurement leans on history
Because recent faces weigh less, the measured distribution does not take the theory's shape. That deviation is the feature of this policy, not an error.
FAQ
Is the "7 is most likely" note correct?
It is correct for independent rolls. This page's measured rows shift because the weights move with history; the theory is shown as a baseline.
Where does the measured deviation come from?
Both policies deviate while trials are few. The fewer-repeat policy additionally reduces streaks through the recent-face weights.
Can I use the theory as the correct answer?
No. For calculations that require independent rolls, use the standard sum probability tool.
Handling
- Processing
- All trials happen inside this browser. Results and history are never sent to a server.
- Reset
- Resetting clears this condition's measured records; faces and dice count stay unchanged.