If \( E \) and \( F \) are independent events such that \( 0P(E)1 \...

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If \( E \) and \( F \) are independent events such that \( 0P(E)1 \) and \( 0P(F)1 \), then
(a) \( E \) and \( F \) are mutually exclusive
(b) \( E \) and \( F^{\prime} \) are independent
(c) \( E^{\prime} \) and \( F^{\prime} \) are independent
(d) \( P(E \mid F)+P\left(E^{\prime} \mid F\right)=1 \).
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