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Recognise when bounds cannot answer a likelihood question

Show two probability models compatible with the same effort range.

Plan from the supplied facts

Original information says effort is either 2 or 8 hours, with no probabilities. Two hypothetical models below both respect those outcomes but give different chances of being no greater than 4 hours. Neither model is established by the bounds.

Editable original planning example
ModelProbability of 2 hProbability of 8 hChance ≤4 h
Possible M10.90.10.9
Possible M20.10.90.1
Known evidenceUnknownUnknownNot determined
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Work through the choice

Only the 2-hour outcome meets the 4-hour threshold. Since its probability is unknown, the threshold chance is unknown too. A midpoint is not a probability model.

Can the planner say there is a 50% chance from the original two outcomes alone?

Show the worked answer

No. Equal weighting would be an additional assumption. M1 and M2 already demonstrate different answers consistent with the same outcomes.

Material to use in your plan

Separate permitted outcomes, supplied probabilities and the requested threshold. If probability inputs are absent, record “likelihood undetermined” and the evidence needed to estimate it.

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