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Choose a question that reduces the largest remaining hypothesis set

Compare question partitions before spending equal investigation effort.

Plan from the supplied facts

Original discovery has eight possible design hypotheses. Question Q1 deterministically partitions them into groups of four/four; Q2 partitions seven/one. Both cost one hour. The stated objective is to minimise the worst number still possible after an answer, with no probabilities supplied.

Editable original planning example
QuestionAnswer-group sizesWorst remainingHours
Q14 / 441
Q27 / 171
No question880
Download editable CSV ↓

Work through the choice

Q2 can occasionally isolate one hypothesis, but its worst branch leaves seven. The supplied objective prefers Q1’s guaranteed reduction to at most four.

Which one-hour question is preferred under the stated objective?

Show the worked answer

Q1: maximum remaining group size four versus seven for Q2. No expected-information calculation is possible without additional weighting.

Material to use in your plan

List the current hypotheses, each question’s answer groups, effort and largest remaining group. Choose against the declared objective, not how interesting one possible answer sounds.

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