How to use the coupon collector expected draws calculator
Estimate how many random draws are needed to collect every one of a set of distinct items. Enter number of distinct items in the field above; the expected draws (approximation), average draws per item are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “coupon collector problem”, “how many draws to get all”, “collect all stickers expected”, “calculate coupon collector expected draws”, “find expected draws”.
Formula
Variables
- n — Number of distinct items
Worked example
With number of distinct items = 52, the calculator gives expected draws (approximation) ≈ 235.4799; average draws per item ≈ 4.528459.
Frequently asked questions
What is the coupon collector expected draws calculator used for?
Estimate how many random draws are needed to collect every one of a set of distinct items. It helps with questions such as “coupon collector problem”, “how many draws to get all”, “collect all stickers expected”.
What is the formula for the coupon collector expected draws calculation?
Expected draws (approximation) = n × (ln(n)+0.5772156649). Average draws per item = [Expected draws (approximation)] / n. Here n is number of distinct items.
What inputs do I need for the coupon collector expected draws calculator?
You need number of distinct items. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the coupon collector expected draws calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the coupon collector expected draws result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.