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]

Both \[{{S}_{1}}\] and \[{{S}_{2}}\] are true

Neither \[{{S}_{1}}\] nor \[{{S}_{2}}\] is true

Let A, B, C be three mutually independent events. Consider the two sta

1.	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
Answer» B. Only \[{{S}_{1}}\] is true

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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]

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