On the Subject of Blindfolded Yahtzee

Believe it or not, I've actually rolled nine 4's.

Pressing either of the two rightmost displays will cause the module to play a round of Yahtzee.

You can't see the values of the dice, but the module will claim what the values are, using the displays. The arrows next to the displays indicate which category* the module is scoring under.

The module might be lying about what it rolled — to complete a stage, say whether the module is being truthful (fourth display) or is lying (fifth display). Complete five stages to solve the module. An incorrect choice will cause a strike, but still complete the stage. Press the status light to return to round 1.

If the module claims to have rolled a Yahtzee*:

This claim is only truthful if all of the following conditions apply:

  • The module rolled the dice three times
  • The value of the Yahtzee* is present in the serial number
  • The module has not claimed to have rolled a Yahtzee* yet

Otherwise, if the module claims to have rolled a large straight*:

  • Dice are 1, 2, 3, 4, 5:
    This claim is only a lie if any of the following conditions apply:
    • The module rolled the dice exactly twice
    • The module re-rolled exactly three dice
    • This is the third or fifth round
  • Dice are 2, 3, 4, 5, 6:
    This claim is only a lie if any of the following conditions apply:
    • The module kept less than two dice after its first roll
    • This is the first or fourth round
    • The previous claim was truthful

Yahtzee: All dice show the same value.

Large straight: Five consecutive values.

Small straight: Four consecutive values. The outlier is the fifth die.

Full house: Three of a kind plus two of another kind.

Four of a kind: Four dice of equal value. The outlier is the fifth die.

Three of a kind: Three dice of equal value, but not four.

Chance: Any five dice.

These terms ("categories") always refer to all of the dice, regardless of which were rolled and which were kept.

Otherwise, if the module claims to have rolled a small straight*:

This claim is only a lie if two or more of the following conditions apply:

  • The outlier* is a 1 or a 6
  • This is not the first round and the module has not lied yet
  • The module rolled the dice less than three times
  • Exactly one die was kept after its first roll
  • It kept the same number of dice after its first and second rolls

Otherwise, if the module claims to have rolled a full house*:

This claim is only a lie if three or more of the following conditions apply:

  • The value of the three of a kind* is 5 or 6
  • The value of the pair* is 1 or 2
  • This is the second round
  • The module did not re-roll exactly one die
  • This is not the first round and the module has not told the truth yet
  • The module re-rolled four or more dice
  • The module kept exactly three more dice after its second roll than it did after its first

Otherwise, if the module claims to have rolled a four of a kind*:

This claim is only truthful if two or more of the following conditions apply:

  • The module has not claimed to have rolled a four of a kind* yet
  • The outlier* is a 4 or a 5
  • The outlier is present in the serial number
  • The module kept exactly two dice after its first roll
  • The module kept exactly three dice after its second roll

Otherwise:

  • If the module is scoring a chance*, it is lying if the sum of the dice is greater than 20.
  • Otherwise, if the module claims to have a three of a kind*, it is lying if it kept exactly four dice after its second roll.
  • Otherwise, it will score one of the numbers; the module is lying if it has been truthful three or more times.