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Let $E_{1}$ and $E_{2}$ be two events such that the conditional probabilities $P \left( E _{1} \mid E _{2}\right)=\frac{1}{2}$, $P \left( E _{2} \mid E _{1}\right)=\frac{3}{4}$ and $P \left( E _{1} \cap E _{2}\right)=\frac{1}{8}$. Then

• A
  $P \left( E _{1} \cap E _{2}\right)= P \left( E _{1}\right) \cdot P \left( E _{2}\right)$
• B
  $P \left( E _{1}^{\prime} \cap E _{2}^{\prime}\right)= P \left( E _{1}^{\prime}\right) \cdot P \left( E _{2}\right)$
• ✓
  $P \left( E _{1} \cap E _{2}^{\prime}\right)= P \left( E _{1}\right) \cdot P \left( E _{2}\right)$
• D
  $P \left( E _{1}^{\prime} \cap E _{2}\right)= P \left( E _{1}\right) \cdot P \left( E _{2}\right)$