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BioBuzz Combination Distributions

A custom calculator that finds the likelihood of getting different combinations of pollen and nectar.

How many nectar are left to be drawn from.
How many pollen are left to be drawn from.
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How the number is worked out

Four are drawn at once and none go back, so this is a hypergeometric draw rather than four separate coin flips. The chance of landing on a given split is the number of ways to pick that split, divided by the number of ways to pick any four at all.

P(p pollen, n nectar) = C(pollen, p) × C(nectar, n) ÷ C(pollen + nectar, 4)

Because nothing is put back, the odds are not fixed. As pollen is drawn out of the pool the remaining draws tilt toward nectar, which is why the table is worth rechecking during a match rather than memorising once.