NO REPLACEMENT · EXACT FRACTIONS
Every subset.
Counted.
Find the probability of drawing exactly, at least or at most a target count from a known group of items.
Every size-n subset must be equally likely. Nothing is returned during the draw.
Describe the draw
Known counts, whole numbers only.
Read the probability
Exact fraction first. Rounded percentage second.
- Favourable subsets / all subsets
- Feasible target counts
- Expected target count
A model mean over repeated equivalent draws, not the count guaranteed in one draw.
| Targets | Probability | Exact fraction | In event? |
|---|
WHAT THE FRACTION MEANS
Count the favourable groups.
Divide by all possible groups.
Drawchance treats each item as individually distinguishable, even when several share a colour or category. It counts unordered subsets using exact integers, then reduces the fraction. It does not shuffle, pick items, test a physical drawing method or predict one particular outcome.
Exactly, at least, at most
“At least” and “at most” include the count you enter. The shaded probability rows show precisely which outcomes are included.
Rare is different from impossible
A tiny positive probability stays positive. If a six-decimal percentage would round to zero, a less-than label appears instead.
The composition must be known
Weighted choices, returned items, unknown totals and changing groups require a different model. This tool does not infer them.