csat-suneung 2008 Q7

csat-suneung · South-Korea · csat__math-humanities 3 marks Independent Events

Two events $A , B$ are independent and $\mathrm { P } \left( A ^ { C } \right) = \mathrm { P } ( B ) = \frac { 1 } { 3 }$. What is the value of $\mathrm { P } ( A \cap B )$? (Here, $A ^ { C }$ is the complement of $A$.) [3 points]
(1) $\frac { 1 } { 18 }$
(2) $\frac { 1 } { 9 }$
(3) $\frac { 1 } { 6 }$
(4) $\frac { 2 } { 9 }$
(5) $\frac { 5 } { 18 }$

Two events $A , B$ are independent and $\mathrm { P } \left( A ^ { C } \right) = \mathrm { P } ( B ) = \frac { 1 } { 3 }$. What is the value of $\mathrm { P } ( A \cap B )$? (Here, $A ^ { C }$ is the complement of $A$.) [3 points]\\
(1) $\frac { 1 } { 18 }$\\
(2) $\frac { 1 } { 9 }$\\
(3) $\frac { 1 } { 6 }$\\
(4) $\frac { 2 } { 9 }$\\
(5) $\frac { 5 } { 18 }$

Paper Questions

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