Yahtzee Full House Validity Check

Check exact 3+2 observed dice multiplicities, with explicit all-five-equal variant switch rather than silently conflating Yahtzee/joker rules.

Description

A full house normally combines three equal dice and a different pair.

A full house normally combines three equal dice and a different pair. Whether five equal dice count is a variant rule.^[1]

Enter five integer dice 1–6 and the boolean five-equal policy. Return descending group multiplicities and qualification.

When to use Yahtzee Full House Validity Check

Use Yahtzee Full House Validity Check when you need to evaluate the supplied records under the calculation and evidence rules below. The policy applies only to this check; no fixed award or full scorecard is supplied.

Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.

How to use Yahtzee Full House Validity Check and understand its results

Prepare the supplied game state, observations and explicit variant settings. Follow the card, board, coordinate and state conventions in the calculation rules.
Enter fiveDice, callerYahtzeeCountsAsFullHouse using the field table and calculation rules, then run the tool.
Read validFullHouse, multiplicitySignature. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
fiveDice	Five dice	list of number	Required
callerYahtzeeCountsAsFullHouse	Caller yahtzee counts as full house	boolean	Required

Enter five integer dice 1–6 and the boolean five-equal policy. Return descending group multiplicities and qualification.

valid=(multiplicities=[3,2]) or (allowFiveEqual and multiplicities=[5])

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
validFullHouse	Valid full house	boolean
multiplicitySignature	Multiplicity signature	list of number

json

{
  "input": {
    "fiveDice": [
      2,
      2,
      3,
      3,
      3
    ],
    "callerYahtzeeCountsAsFullHouse": false
  },
  "output": {
    "validFullHouse": true,
    "multiplicitySignature": [
      3,
      2
    ]
  }
}

Limitations and assumptions

The policy applies only to this check; no fixed award or full scorecard is supplied.

Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.

Alternative or Complementary methods

Use Yahtzee Large Straight Validity Check: A large straight uses all five consecutive faces. Duplicate faces prevent five-face coverage. For a complementary task, use Yahtzee Upper Bonus 63 Check: The Yahtzee upper section totals the six face categories. A bonus check needs a declared threshold and award.

References

Yahtzee Full House Validity Check — tool.io

Similar or alternative tools

Yahtzee Large Straight Validity Check
A large straight uses all five consecutive faces. Duplicate faces prevent five-face coverage.
Yahtzee Upper Bonus 63 Check
The Yahtzee upper section totals the six face categories. A bonus check needs a declared threshold and award.