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Statistics

Probability from favourable outcomes

The definition for equally likely outcomes. The result always lies between zero and one, and multiplying by one hundred gives a percentage.

The Formula

P = n_fav / n_total

The definition for equally likely outcomes. The result always lies between zero and one, and multiplying by one hundred gives a percentage.

SymbolMeaning
n_favFavourable outcomes
n_totalTotal outcomes
PProbability

What Each Symbol Means

n_favoutcomes

Favourable outcomes

How many outcomes count as the event happening.

n_totaloutcomes

Total outcomes

Every equally likely outcome in the sample space.

Pdimensionless

Probability

Between zero and one inclusive.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate probability page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Probability, filed under Math. Every number the guide produces comes from substituting into this one line.