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If \( \mathrm{E}_{1} \) and \( \mathrm{E}_{2} \) are two events such that \( \mathrm{P}\left(\mathrm{E}_{1}\right)=1 / 4, \mathrm{P}\left(\mathrm{E}_{2} / \mathrm{E}_{1}\right)=1 / 2 \) and \( \mathrm{P}\left(\mathrm{E}_{1} / \mathrm{E}_{2}\right)=1 / 4 \)
(A) then \( \mathrm{E}_{1} \) and \( \mathrm{E}_{2} \) are independent
\( \mathrm{P} \)
(B) \( \mathrm{E}_{1} \) and \( \mathrm{E}_{2} \) are exhaustive
W
(C) \( E_{2} \) is twice as likely to occur as \( E_{1} \)
(D) Probabilities of the events \( E_{1} \cap E_{2}, E_{1} \) and \( E_{2} \) are in G.P.
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