Let \( A, B, C \) be three mutually independent events. Consider the two statements \( S_{1} \) ... VIDEO
Let \( A, B, C \) be three mutually independent events. Consider the two statements \( S_{1} \) and \( S_{2} \).
\( S_{1}: A \) and \( B \cup C \) are independent
\( S_{2}: A \) and \( B \cap C \) are independent
Then,
(A) both \( S_{1} \) and \( S_{2} \) are true
(B) only \( S_{1} \) is true
(C) only \( S_{2} \) is true
(D) neither \( S_{1} \) nor \( S_{2} \) is true
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