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State True or False for the statements in the Exercise.
Two independent events are always mutually exclusive.
Answers (1)
False
If A and B are independent events, it means that
P(A ∩ B) = P(A)P(B)
From the equation it cannot be proved that
P(A∪B) = P(A) + P(B)
It is only possible if either P(A) or P(B) = 0, which is not given in question.
Hence, it is a false statement.
View full answer
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