5.3.8

Conditional Probability

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Conditional Probability

The conditional probability of event A given event B is the probability that event A happens given that event B happens. The event A given B can be written as A|B.

Illustrative background for Conditional probabilityIllustrative background for Conditional probability ?? "content

Conditional probability

  • This is the general equation for conditional probability.
Illustrative background for Independent eventsIllustrative background for Independent events ?? "content

Independent events

  • If events A and B are independent then P(A|B) = P(A).
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Dependent events

  • For dependent events the probability for both A and B occurring is:
    • P(A and B) = P(A) × P(B|A)
    • or P(A and B) = P(B) × P(A|B).

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2.1Introduction to Algebra

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5Probability

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