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Question 16

Mathematics Probability Hard

Let U and V be two events of a sample space S and P(A) denote the probability of an event A. Which of the following statements is true?

(A) If P(U) = P(V), then U = V.
(B) If P(U) = 1, then U<sup>c</sup> = S.
(C) If U&nbsp;&cap; V =&nbsp;ϕ, then U and V are independent.
(D) If U and V are independent, then so are U<sup>c</sup> and V<sup>c</sup>.
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Correct Solution: Option D

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