csat-suneung 2012 Q10

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

Two events $A$ and $B$ are independent, and
$$\mathrm { P } ( A \cup B ) = \frac { 1 } { 2 } , \quad \mathrm { P } ( A \mid B ) = \frac { 3 } { 8 }$$
What is the value of $\mathrm { P } \left( A \cap B ^ { C } \right)$? (where $B ^ { C }$ is the complement of $B$) [3 points]
(1) $\frac { 1 } { 10 }$
(2) $\frac { 3 } { 20 }$
(3) $\frac { 1 } { 5 }$
(4) $\frac { 1 } { 4 }$
(5) $\frac { 3 } { 10 }$

Two events $A$ and $B$ are independent, and

$$\mathrm { P } ( A \cup B ) = \frac { 1 } { 2 } , \quad \mathrm { P } ( A \mid B ) = \frac { 3 } { 8 }$$

What is the value of $\mathrm { P } \left( A \cap B ^ { C } \right)$? (where $B ^ { C }$ is the complement of $B$) [3 points]\\
(1) $\frac { 1 } { 10 }$\\
(2) $\frac { 3 } { 20 }$\\
(3) $\frac { 1 } { 5 }$\\
(4) $\frac { 1 } { 4 }$\\
(5) $\frac { 3 } { 10 }$

Paper Questions

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