CCalclabhub

Statistics

Complement of an event

The probability that the event does not happen. Useful when counting the ways something fails is easier than counting the ways it succeeds.

The Formula

P(not A) = 1 - P(A)

The probability that the event does not happen. Useful when counting the ways something fails is easier than counting the ways it succeeds.

SymbolMeaning
PProbability of the event
PcComplement

What Each Symbol Means

Pdimensionless

Probability of the event

Between zero and one.

Pcdimensionless

Complement

One minus the probability of the event.

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.