Exact model

Yams/Yahtzee on the first roll

Probability:
0.0772%
Odds:
1 to 1,300
dBan
−31.1 dBan

A first roll of five fair dice produces an instant Yams or Yahtzee only about once in 1,296 tries.

Calculation

p = 6 matching sets / 6⁵ possible rolls = 1/1296

Assumptions

Five fair six-sided dice roll independently.

Sources

  1. Five-dice model