Dice and Probability

Simulate rolls of a fair six‑sided die, explore long‑run proportions, and compare to theoretical probability.

How to play

Choose how many rolls to add using the radio buttons. Select Roll now to add that many rolls to the simulation. Select Restart to clear the results and start over.

Probability note: The probability of an event equals the number of favorable outcomes divided by the total number of possible equally‑likely outcomes (that is, P(event) = \# favorable ÷ \# possible). For a fair die, P(rolling a 1) = 1⁄6 ≈ 0.1667.

Controls

How many rolls to add?
Adds the selected number of die rolls to the simulation. Clears all results and resets counts to zero.

Results

Die Roll Outcome (proportion)
Die Roll Outcome Six bars show the proportion of outcomes 1 through 6. Y-axis ranges from 0 to 1 with major grid lines at 0.10 and minor at 0.05.

Total rolls: 0. Expected long‑run proportion for each face is 1⁄6 ≈ 0.1667.

FaceCountProportion
 Counts and proportions for each die face. Table updates after each action.