Answer :

Given:

P(occurrence of event A) = 0.7


P(occurrence of event B) = 0.3


and P(occurrence of both) = 0.4


We know that,


P(A B) = P(A) × P(B)


[when A and B are independent events]


P(A B) = 0.7 × 0.3


P(A B) = 0.21


But given that P(A B) = 0.4


Hence, the given statement is False.


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