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tresor4k

macalc

calculate_lottery_odds

Compute the odds of winning a lottery for various prize tiers. Enter numbers to pick, total numbers, and optional bonus settings to get probability and 1-in-N odds for each tier.

Instructions

Compute the odds of winning a lottery for various prize tiers. Use for awareness, education. Inputs: numbers to pick, total numbers, bonus number config. Returns probability and 1-in-N for each tier. See list_bundles for related 'jeux-probabilites' calculators.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
numbers_to_pickYesHow many numbers you pick
total_numbersYesTotal numbers in the main pool
bonus_numbersNoNumber of bonus/powerball numbers to match (default 0)
bonus_poolNoSize of the bonus number pool (default 0, no bonus)

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultNoComputed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools).
formulaNoHuman-readable formula or method used (e.g. "I=P·r·t", "Magnus formula").
sourceNoAuthoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21").
reference_urlNoLink to a calcul2 page documenting the calculation in detail.
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries full burden for behavioral disclosure. It mentions return values but says nothing about side effects, rate limits, or required permissions. This is insufficient for a computation tool.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness5/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is two sentences plus a reference, front-loading the purpose and usage. Every sentence adds value with no redundancy.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the tool's complexity and the lack of an output schema, the description covers purpose, parameters, output type, and related tools. It could elaborate on the 'various prize tiers' but is mostly complete.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, so baseline is 3. The description restates parameters ('numbers to pick, total numbers, bonus number config') but adds no new semantics beyond the schema.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states that the tool computes lottery odds for various prize tiers and lists inputs and outputs. It does not explicitly differentiate from the many sibling 'calculate' tools, but the subject matter is distinct enough.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description advises using the tool for 'awareness, education' and points to 'list_bundles' for related calculators, providing both when-to-use and an alternative.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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