(iii)
Two experiments are said to be independent if for every pair of events E and F,
where E is associated with the first experiment and F with the second experiment,
the probability of the simultaneous occurrence of the events E and F when the
two experiments are performed is the product of P(E) and P(F) calculated
separately on the basis of two experiments, i e , P (E ∩ F) = P (E) P(F)
(iv)
Three events A, B and C are said to be mutually independent, if
P(A ∩ B) = P(A) P(B)
P(A ∩ C) = P(A) P(C)
P(B ∩ C) = P(B) P(C)
and
P(A ∩ B ∩ C) = P(A) P(B) P(C)
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MATHEMATICS
If at least one of the above is not true for three given events, we say that the
events are not independent