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What is the difference between the addition rule and the multiplication rule of probability?

What is the difference between the addition rule and the multiplication rule of probability?

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Answer #1
  • The addition rule is used to get the probability of occurrence of either one or both the events from a set of 2 events that is P(A or B) . It is given as:
    P(A or B) = P(A) + P(B) - P(A and B)
  • On the other hand the multiplication rule is used specifically for a set of 2 independent events. It is given as:
    P(A and B) = P(A)P(B)
    Where A and B are independent events.

Therefore one is used for OR operator probability, and the other for AND operator probability only for independent events.

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