# PWR-119 — Decision under uncertainty: learner worksheet

Release: Revision 7T · Full Tutorial Edition
Estimated time: Estimated 25 min reading and worksheet pass
Difficulty: Intermediate
Equipment: Common household or practice equipment — Exact fictional venue card: accessible indoor room costs £180; courtyard costs £0 if dry and £500 if rain cancels; rain range is 30–50%; both options must retain the supplied step-free route. Two update cards say 25% and 45%, both with no access change; a helper chooses one face down and reveals it only after the switching threshold is committed.; Option–state matrix, calculator and probability-range worksheet.; Decision log with owner, affected roles, reversal and update trigger.
Space: Desk / seated

Automated structural checklist: 10 of 10 structural checks present
Evidence quality/context: G1; Deep research depth
Automated method-quality band: Comprehensive
Method-rating basis: Structure coverage, instruction/check specificity, alternative distinctness, source troubleshooting, comparison depth and whether purpose/check fields are authored rather than derived.

Editorial review: Pending manual editorial sign off

## Before you begin
- [ ] I read the tutorial authority and stop conditions.
- [ ] I have the required equipment/space or a declared accessible alternative.

## Canonical source context

A decision under uncertainty connects options with possible states, probability ranges, consequences, values, rights, reversibility and accountability. This lesson uses a fictional low-stakes venue choice. The learner predeclares objectives and non-negotiable constraints, estimates ranges, calculates one expected-cost comparison, checks sensitivity and records what new fact would change the choice. The worksheet must not choose a real clinical, legal, political, employment, financial or safety option.

Target outcome: The learner produces a traceable fictional decision record with options, probability ranges, consequences, protected constraints, sensitivity analysis, threshold and update rule.

### Authority and setup conditions

- Write FICTIONAL PRACTICE at the top.
- Name the decision owner and protected constraints supplied by the case.
- Keep probabilities as ranges when evidence does not justify a point estimate.

### Required or supplied materials

- Exact fictional venue card: accessible indoor room costs £180; courtyard costs £0 if dry and £500 if rain cancels; rain range is 30–50%; both options must retain the supplied step-free route. Two update cards say 25% and 45%, both with no access change; a helper chooses one face down and reveals it only after the switching threshold is committed.
- Option–state matrix, calculator and probability-range worksheet.
- Decision log with owner, affected roles, reversal and update trigger.

## 1. Frame the decision

State the question, decision time, owner, affected roles and what success means.

Why: A clear frame prevents silent changes in objective or authority.

Success check: One sentence names owner, options and deadline.

Accessible alternative: Complete “State the question, decision time, owner, affected roles and what success means.” in shorter passes, or use keyboard input, dictation or a support person, while preserving this success check: “One sentence names owner, options and deadline.” Allow calculator, spreadsheet or scribe support with assumptions visible.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## 2. List options and protected constraints

Write every available option and mark any accessibility, consent or safety requirement that no score may override.

Why: Some values are constraints, not prices in an average.

Success check: Each option is checked against non-negotiable conditions first.

Accessible alternative: Complete the same research action — “Write every available option and mark any accessibility, consent or safety requirement that no score may override.” — using speech-to-text, text-to-speech, enlarged text, keyboard-only navigation, shorter work blocks or a support person. Preserve this declared check: “Each option is checked against non-negotiable conditions first.” Do not convert the research task into capability practice.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## 3. Define uncertain states

List mutually distinct future states and probability ranges using the supplied base rate and evidence.

Why: Explicit states prevent vague best-case storytelling.

Success check: Ranges are bounded and their assumptions are cited.

Accessible alternative: Complete the same research action — “List mutually distinct future states and probability ranges using the supplied base rate and evidence.” — using speech-to-text, text-to-speech, enlarged text, keyboard-only navigation, shorter work blocks or a support person. Preserve this declared check: “Ranges are bounded and their assumptions are cited.” Do not convert the research task into capability practice.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## 4. Map consequences

For each option–state pair, record cost, delay, burden and who experiences it. Keep unlike outcomes in separate columns.

Why: A single total can hide distribution and value conflict.

Success check: Every cell has concrete consequences and affected role.

Accessible alternative: Complete the same research action — “For each option–state pair, record cost, delay, burden and who experiences it. Keep unlike outcomes in separate columns.” — using speech-to-text, text-to-speech, enlarged text, keyboard-only navigation, shorter work blocks or a support person. Preserve this declared check: “Every cell has concrete consequences and affected role.” Do not convert the research task into capability practice.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## 5. Classify reversibility and information value

Mark which fictional options can be trialled, delayed or reversed and what useful information each would produce before commitment. Record any cost of waiting.

Why: A reversible step can preserve options, but delay can also impose a real consequence.

Success check: Each option has a reversal route, information gain and waiting cost or is explicitly marked irreversible.

Accessible alternative: Complete the same research action — “Mark which fictional options can be trialled, delayed or reversed and what useful information each would produce before commitment. Record any cost of waiting.” — using speech-to-text, text-to-speech, enlarged text, keyboard-only navigation, shorter work blocks or a support person. Preserve this declared check: “Each option has a reversal route, information gain and waiting cost or is explicitly marked irreversible.” Do not convert the research task into capability practice.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## 6. Calculate and test sensitivity

For each option, calculate expected cost by multiplying each state probability by that option’s cost in the state and adding the products: Σ probability(state) × cost(option,state). Use probabilities as decimals that sum to 1. Repeat at the low and high ends of the supplied range; do not average protected constraints.

Why: Sensitivity shows whether the choice depends on a fragile estimate.

Success check: The record states whether the preferred option changes across the range.

Accessible alternative: Complete the same research action — “For each option, calculate expected cost by multiplying each state probability by that option’s cost in the state and adding the products: Σ probability(state) × cost(option,state). Use probabilities as decimals that sum to 1. Repeat at the low and high ends of the supplied range; do not average protected constraints.” — using speech-to-text, text-to-speech, enlarged text, keyboard-only navigation, shorter work blocks or a support person. Preserve this declared check: “The record states whether the preferred option changes across the range.” Do not convert the research task into capability practice.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## 7. Choose a threshold and update rule

Write the current fictional choice, the reason, what probability or fact would switch it and who would review it.

Why: A predeclared threshold supports proportionate updating rather than hindsight.

Success check: The final line includes choice, threshold, trigger and reviewer.

Accessible alternative: Complete the same research action — “Write the current fictional choice, the reason, what probability or fact would switch it and who would review it.” — using speech-to-text, text-to-speech, enlarged text, keyboard-only navigation, shorter work blocks or a support person. Preserve this declared check: “The final line includes choice, threshold, trigger and reviewer.” Do not convert the research task into capability practice.

Alternative relationship: Target preserving when declared check is preserved

Learner notes:

________________________________________________________________________________

Completed: [ ]

## Reflection

What changed?

________________________________________________________________________________

What remains difficult?

________________________________________________________________________________

What will I repeat, adapt, ask for help with, or stop?

________________________________________________________________________________

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Completion of this worksheet demonstrates tutorial participation only. It does not establish capability, qualification, safety clearance, diagnosis, treatment or independent validation.
