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What is multiplication rule of probability?
Multiplication Rule of Probability. The multiplication rule of probability explains the condition between two events. For two events A and B associated with a sample space S, the set A鈭〣 denotes the events in which both event A and event B have occurred. Hence, (A鈭〣) denotes the simultaneous occurrence of the events A and B.
What is the multiplication rule for P A B?
That is, in the equation P(A|B) = P(A鈭〣) P(B) P ( A | B) = P ( A 鈭?B) P ( B), if we multiply both sides by P(B) P ( B), we obtain the Multiplication Rule. The rule is useful when we know both P(B) P ( B) and P(A|B) P ( A | B), or both P(A) P ( A) and P(B|A).
What is the probability that B occurs given two events?
The general multiplication rule For any two events, we can say that The vertical bar in means given, so this could also be read as the probability that B occurs given that A has occurred.
What does a鈭〣 mean in probability?
Hence, (A鈭〣) denotes the simultaneous occurrence of events A and B. Event A鈭〣 can be written as AB. The probability of event AB is obtained by using the properties of conditional probability. What is the Multiplication Rule of Probability?