csat-suneung 2015 Q16

csat-suneung · South-Korea · csat__math-A 4 marks Conditional Probability Direct Conditional Probability Computation from Definitions

For two events $A$ and $B$, $$\mathrm { P } ( A ) = \frac { 1 } { 3 } , \quad \mathrm { P } ( A \cap B ) = \frac { 1 } { 8 }$$ what is the value of $\mathrm { P } \left( B ^ { C } \mid A \right)$? (Here, $B ^ { C }$ is the complement of $B$.) [4 points]
(1) $\frac { 11 } { 24 }$
(2) $\frac { 1 } { 2 }$
(3) $\frac { 13 } { 24 }$
(4) $\frac { 7 } { 12 }$
(5) $\frac { 5 } { 8 }$

For two events $A$ and $B$,
$$\mathrm { P } ( A ) = \frac { 1 } { 3 } , \quad \mathrm { P } ( A \cap B ) = \frac { 1 } { 8 }$$
what is the value of $\mathrm { P } \left( B ^ { C } \mid A \right)$? (Here, $B ^ { C }$ is the complement of $B$.) [4 points]\\
(1) $\frac { 11 } { 24 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) $\frac { 13 } { 24 }$\\
(4) $\frac { 7 } { 12 }$\\
(5) $\frac { 5 } { 8 }$

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