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
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
- [IIT 1994]
- 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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