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How many free parameters does a Boolean node with three Boolean parents need?

  • A.Eight
  • B.Sixteen distinct values, one for each row of the extended table
  • C.Four values covering the parents taken in pairs
  • D.Three values, one contributed by each of the parents

Answer: A

Three Boolean parents give 8 parent combinations, and each row needs one number because the complement is determined, so 8 free parameters rather than 16. Counting rows first and then halving each row is the reliable procedure, and it generalises directly to non-Boolean variables. Getting this arithmetic automatic is what lets you judge at a glance whether a proposed structure is elicitable from an expert or hopeless.

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