THE NUMBERS, EXPLAINED
How to use this calculator.
Single possible covered repair with entered probability; warranty pays the remainder of that repair. Excludes exclusions, multiple failures, timing and reimbursement risk.
Start with your inputs
Enter warranty price, user-assumed covered failure probability (%), repair cost without warranty, repair excess with warranty. Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Warranty price | 60 |
| User-assumed covered failure probability (%) | 20 |
| Repair cost without warranty | 250 |
| Repair excess with warranty | 20 |
A worked example
With the example inputs above, expected repair cost without warranty is 50. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Expected repair cost without warranty | 50 |
| Expected cost with warranty | 64 |
| Expected warranty cost difference | 14 |
How this is calculated
Expected repair cost without warranty
Multiply supplied failure probability by repair cost.
Expected cost with warranty
Add warranty price to probability-weighted excess.
Expected warranty cost difference
Subtract expected no-warranty cost from with-warranty cost.
Symbols and units
- a
- Warranty price
- b
- User-assumed covered failure probability (%)
- c
- Repair cost without warranty
- d
- Repair excess with warranty
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Single possible covered repair with entered probability; warranty pays the remainder of that repair. Excludes exclusions, multiple failures, timing and reimbursement risk.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Expected repair cost without warranty; Expected cost with warranty; Expected warranty cost difference. The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Single possible covered repair with entered probability; warranty pays the remainder of that repair. Excludes exclusions, multiple failures, timing and reimbursement risk.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax: Solve proportions and their applications ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →