Let \( E \) and \( F \) be two independent events. The probability that both \( E \) and \( F \)... VIDEO
Let \( E \) and \( F \) be two independent events. The probability that both \( E \) and \( F \) happen is \( 1 / 12 \) and the probability that neither \( E \) nor \( F \) occurs is \( 1 / 2 \). Then,
(A) \( P(E)=\frac{1}{3}, P(F)=\frac{1}{4} \)
(B) \( P(E)=\frac{1}{6}, P(F)=\frac{1}{2} \)
(C) \( P(E)=\frac{1}{2}, P(F)=\frac{1}{6} \)
(D) \( P(E)=\frac{1}{4}, P(F)=\frac{2}{3} \)
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