If \( E_{1} \) and \( E_{2} \) are two events such that \( P\left(E_{1}\right)=1 / 4, P\left(E_{... VIDEO
If \( E_{1} \) and \( E_{2} \) are two events such that \( P\left(E_{1}\right)=1 / 4, P\left(E_{2} \mid E_{1}\right) \) \( =1 / 2 \) and \( P\left(E_{1} \mid E_{2}\right)=1 / 4 \) then
(a) \( E_{1} \) and \( E_{2} \) are independent
(b) \( E_{1} \) and \( E_{2} \) are exhaustive
(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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