Let \( E \) and \( F \) be two independent events. The probability ...
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Let \( E \) and \( F \) be two independent events. The probability that exactly one of them occurs is \( \frac{11}{25} \) and the probability of none of them occurring is \( \frac{2}{25} \). If \( \mathrm{P}(\mathrm{T}) \) denotes the probability of occurrence of the event \( \mathrm{T} \),
\( \mathrm{P} \) then
(A) \( P(E)=\frac{4}{5}, P(F)=\frac{3}{5} \)
(B) \( P(E)=\frac{1}{5}, P(F)=\frac{2}{5} \)
(C) \( P(E)=\frac{2}{5}, P(F)=\frac{1}{5} \)
(D) \( P(E)=\frac{3}{5}, P(F)=\frac{4}{5} \)
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