🎲 Classic Dice
Yahtzee Probability Calculator (5 of a Kind Odds)
Calculate the exact odds of rolling a Yahtzee (five of a kind), Large Straight, Small Straight, or Full House across 1, 2, or 3 rolls.
⚙️ Input Parameters
Real-Time Simulation 1
1 3
Mathematical Formula
Combinatorics over 3 roll cycles with optimal keeper strategy
Primary Probability Result
--%
Success Probability
Fractional Odds
1 in 2.0
Failure Chance
50.0%
Client-side mathematical calculation ● 100% Deterministic
Tactical Analysis & Mathematical Context
In tabletop gaming, understanding the mathematical distribution behind your rolls allows you to make informed risk-reward decisions. Whether balancing spell slot usage in D&D 5e, evaluating an attack profile in Warhammer 40k, or weighing trade routes in Catan, knowing the exact probability mass function (PMF) turns guesswork into strategy.
Frequently Asked Questions
What are the odds of rolling a Yahtzee on the first roll?
On a single throw of 5 dice, the probability of all 5 matching is 6 * (1/6)^5 = 1/1,296 ≈ 0.077% (about 1 in 1,296 rolls).
What are the odds of rolling a Yahtzee within 3 rolls?
With optimal re-rolling strategy across all three rolls, the probability of achieving a Yahtzee is approximately 4.60% (roughly 1 in 22 turns).
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