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Conditional Probability

Table of Contents

The conditional probability formula is:

P(EF)=P(EF)P(F) P(E|F) = \frac{P(E \cap F)}{P(F)}

Where

  • P(EF)\small P(E|F) is the probability of event EE given event FF,
  • P(EF)\small P(E \cap F) (the intersection of the two events) is the probability of both events EE and FF occurring, and
  • P(F)\small P(F) is the probability of event FF.

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