Calculadora de Probabilidade Complementar

Calcule a probabilidade complementar de um evento, ou seja, a chance de ele não ocorrer.

P(Not Event)

0.650000

Complement (%)65.0000
Odds Against1.8571

P(Not Event) vs P(Event)

Formula

How to Calculate Complement Probability

Formula

P(A') = 1 - P(A)

The complement of an event A includes all outcomes where A does not happen. Since all probabilities must sum to 1, the complement is simply 1 minus the event probability. This is often useful for "at least one" problems where computing the direct probability is complex.

Exemplo Resolvido

The probability of rain is 0.35. What is the probability it does not rain?

  1. 01P(rain) = 0.35
  2. 02P(no rain) = 1 - 0.35 = 0.65
  3. 03As a percentage: 65%
  4. 04Odds against rain: 0.65 / 0.35 ≈ 1.857

Perguntas Frequentes

When is the complement rule most useful?

It is especially handy for "at least one" problems. Instead of computing P(at least one) directly, compute P(none) and subtract from 1.

Can the complement probability be zero?

Yes. If P(A) = 1 (the event is certain), then P(not A) = 0. Conversely, if P(A) = 0, then P(not A) = 1.

How does the complement relate to odds?

Odds against = P(not A) / P(A). Odds in favor = P(A) / P(not A). These are reciprocals of each other.

Aprender

Understanding the Normal Distribution

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