MCQOPTIONS
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| 1. |
Suppose A and B are two independent events with probabilities \({\rm{P}}\left( {\rm{A}} \right) \ne 0\) and \({\rm{P}}\left( {\rm{B}} \right) \ne 0\). Let \({\rm{\bar A}}\) and \({\rm{\bar B}}\) be their complements. Which one of the following statements is False? |
| A. | \({\rm{P}}\left( {{\rm{A}} \cap {\rm{B}}} \right){\rm{\;}} = {\rm{\;P}}\left( {\rm{A}} \right){\rm{P}}\left( {\rm{B}} \right)\) |
| B. | \({\rm{P}}\left( {{\rm{A}}/{\rm{B}}} \right){\rm{\;}} = {\rm{\;P}}\left( {\rm{A}} \right)\) |
| C. | \({\rm{P}}\left( {{\rm{A}} \cup {\rm{B}}} \right){\rm{\;}} = {\rm{\;P}}\left( {\rm{A}} \right){\rm{\;}} + {\rm{\;P}}\left( {\rm{B}} \right)\) |
| D. | \({\rm{P}}\left( {{\rm{\bar A}} \cap {\rm{\bar B}}} \right){\rm{\;}} = {\rm{\;P}}\left( {{\rm{\bar A}}} \right){\rm{P}}\left( {{\rm{\bar B}}} \right)\) |
| Answer» D. \({\rm{P}}\left( {{\rm{\bar A}} \cap {\rm{\bar B}}} \right){\rm{\;}} = {\rm{\;P}}\left( {{\rm{\bar A}}} \right){\rm{P}}\left( {{\rm{\bar B}}} \right)\) | |