Tool category

Probability Tools

Probability tools turn confusing random outcomes into clear percentages, miss rates, and expected cost ranges.

Category answer

When this category is the right starting point.

Use this category when the decision involves repeated attempts, miss chance, expected cost, or another random outcome. The goal is to understand risk clearly, not to predict or guarantee a result.

Decision map

Start with the question, then choose the tool.

This page groups the calculators and notes by the decision they support, so the category is useful even before someone knows the exact calculator name.

Use cases

Good fit for

  • Estimate the chance of at least one success across repeated independent attempts.
  • Read the miss chance alongside the success chance before relying on a random outcome.
  • Understand long-run expected cost without treating it as a spending target.
Trust checks

Before trusting a result

  • Check whether attempts are really independent before using a fixed-rate model.
  • Look for changing rates, hidden rules, pity systems, or shrinking pools.
  • Treat expected cost as an average scale, not a promise about one person's result.

Available tools

These tools are currently live or directly connected to this category.

Live

Probability Tools

PrizeOdds Calculator

Free gacha, blind box, Ichiban Kuji, random booster, and prize odds calculators for collectors and chance-based purchases.

  • probability
  • gacha
  • blind box
  • collectibles
  • Gacha probability calculator
  • Blind box odds calculator
  • Expected cost calculator
  • Ichiban Kuji-style prize pool calculator
Live

Probability Tools

Repeated Attempt Probability Calculator

A browser-based calculator for estimating the chance of at least one success across repeated independent attempts.

  • probability
  • risk
  • repeated attempts
  • odds
  • At least one success probability
  • Miss chance calculation
  • Single-attempt rate input
  • Repeated attempt model
Live

Probability Tools

Expected Cost Calculator

A browser-based calculator for estimating long-run expected cost from a single-attempt success rate and price per attempt.

  • expected cost
  • probability
  • collectibles
  • budget
  • Expected attempts estimate
  • Expected cost estimate
  • Success rate and price inputs
  • Responsible-use explanation

What this category covers

The scope is intentionally narrow: tools are included only when the inputs, formula, and limits can be explained clearly.

Repeated-attempt tools belong here when they show both hit chance and miss chance.

That keeps the category focused on useful planning pages instead of a thin list of loosely related links.

Expected-cost tools belong here when they explain long-run averages and variance.

That keeps the category focused on useful planning pages instead of a thin list of loosely related links.

Probability guides belong here when they slow down risky decisions instead of encouraging them.

That keeps the category focused on useful planning pages instead of a thin list of loosely related links.

Related field notes

These guides explain the assumptions, examples, privacy notes, and limitations behind the tools in this category.

View all guides