Answer: No, the events are not independent
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Step-by-step explanation
If P(A & B) = P(A)*P(B) is a true equation, then events A and B are independent.
So,
P(A)*P(B) = 0.45*0.2 = 0.09
which does not match with P(A & B) =0.65
Therefore, P(A & B) = P(A)*P(B) is false and we conclude the two events are not independent. They are dependent. A depends on B, or vice versa.