Considering the theory of Independent event, if we assume A and B are two separate independent events in a sample space of S and if these two facts are true as:
Then the probabi1ity of happening of both the events are given by
Note: Here P(B/A) is the conditional probability.This is simply to provide information on event A which has already occurred. Without A appearing beforehand event B cannot occur. Same goes for P (A/B).
P (A) = n1/n
Applying the theory of conditional probability of event A we come to:
P (B/A) = n2/n1
n2/n = n1/n* n2/n1
P (AB) = P (A). P (B/A)
If another event, suppose C is occurring with other two previous events A and B then we’ll get:
P (ABC) = P (A). P (B/A) P(C/AB).
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