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Exact model

Three dice all match

Probability:
2.78%
Odds:
1 to 35
dBan
−15.4 dBan

Three fair dice all show the same face about once in 36 rolls, from 1–1–1 through 6–6–6.

Calculation

p = 6 matching triples / 216 equally likely rolls = 1/36

Assumptions

The three fair six-sided dice roll independently.

Sources

  1. Fair independent dice model

Explore on the scale

  • Three dice sum to at least 10
  • Two dice show the same number
  • Four dice all match
  • At least two of four dice match