Let A,B,C be three mutually independent event. Consider the two statements $S_1$, and $S_2;S_1:A$ and $ B \cap C$ are independent .$S_1:A$ and $ B \cap C$ are independent . Then

Question

$\begin{array}{1 1} Both \;S_1\;and\;S_2\;are\;true \\Only\;S_1\;is\;true. \\ Only\;S_2\;is\;true \\ Neither\;S_1\;nor\;S_2\;ie\;true \end{array} $