According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.
If A and B are dependent events, then the probability of both events occurring simultaneously is given by:
P(A ∩ B) = P(B) . P(A|B)
If A and B are two independent events in an experiment, then the probability of both events occurring simultaneously is given by:
P(A ∩ B) = P(A) . P(B)
references:
https://byjus.com/maths/multiplication-rule-probability/#:~:text=What%20is%20the%20Multiplication%20Rule,given%20that%20event%20B%20occurs.
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