Exact model
At least two of four dice match
- Probability:
- 72.2%
- Odds:
- 2.6 to 1
- dBan
- +4.1 dBan
Of the 1,296 possible rolls of four fair dice, 936 contain at least one matching pair.
Calculation
p = 1 − (6 × 5 × 4 × 3) / 6⁴ = 1 − 360/1296 = 13/18
Assumptions
The four fair dice roll independently. Any repeated face counts, including triples and four of a kind.
Sources
- Fair independent dice model