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Coupon Collector Expected Draws

Online coupon collector expected draws. Independent uniform sampling with replacement.

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coupon collector expected draws calculator online

Use coupon collector expected draws online for distinct items. Independent uniform sampling with replacement. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.

How to use it

Enter distinct items. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
distinct itemsMain input. Whole numbers. 10

Calculation method

expected_draws = coupon(distinct_items) (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply coupon collector expected draws to the case below, keeping the displayed units and assumptions. Independent uniform sampling with replacement.

Coupon Collector Expected Draws — worked case

Settings: No additional options

Input:

10

Calculated result for these inputs:

Output:

{
  "expected_draws": 29.289682539682538
}

Choose the right tool

Choose number theory for exact integer relationships, distribution tools for a declared random model, and geometry tools for coordinates. A density is not a probability and a statistical model does not establish a real-world outcome.

Limitations and common mistakes

  • Independent uniform sampling with replacement. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use coupon collector expected draws calculator online?

Enter distinct items. Select Calculate and check the labeled output. Copy or download the JSON result.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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