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Check whether an effort range makes one option always cheaper

Use permitted counter-scenarios before ranking uncertain options.

Plan from the supplied facts

Fictional A requires 4–8 hours and B 6–7. Every pair within those bounds is allowed, with no probabilities. A’s minimum is lower but its maximum higher. An “always lower effort” claim must hold for every permitted pair, not only the favourable endpoints.

Editable original planning example
Permitted pairA hB hLower
Pair 147A
Pair 286B
Range comparison4–86–7No universal winner
Download editable CSV ↓

Work through the choice

Both ranking directions have a permitted counter-scenario. The difference A−B spans −3 to +2 hours, crossing zero.

Can A be chosen as always lower effort because four is below six?

Show the worked answer

No. A=8,B=6 is permitted and reverses that ranking. Choosing still needs a stated risk preference or additional evidence.

Material to use in your plan

List option bounds, allowed joint scenarios and counterexamples to universal dominance. Keep preference decisions separate from claims proved by the bounds.

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