- Home
- Standard 11
- Mathematics
14.Probability
easy
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
(IIT-1994)
Solution
(a) $B \cup C$ is independent to $A,$ so ${S_1}$ is true
$B \cap C$ is also independent to $A,$ so ${S_2}$ is true.
Standard 11
Mathematics
