csat-suneung 2017 Q4

csat-suneung · South-Korea · csat__math-humanities 3 marks Probability Definitions Probability Using Set/Event Algebra

For two events $A$ and $B$, $$\mathrm { P } ( A \cap B ) = \frac { 1 } { 8 } , \mathrm { P } \left( A \cap B ^ { C } \right) = \frac { 3 } { 16 }$$ What is the value of $\mathrm { P } ( A )$? (Here, $B ^ { C }$ is the complement of $B$.) [3 points]
(1) $\frac { 3 } { 16 }$
(2) $\frac { 7 } { 32 }$
(3) $\frac { 1 } { 4 }$
(4) $\frac { 9 } { 32 }$
(5) $\frac { 5 } { 16 }$

For two events $A$ and $B$,
$$\mathrm { P } ( A \cap B ) = \frac { 1 } { 8 } , \mathrm { P } \left( A \cap B ^ { C } \right) = \frac { 3 } { 16 }$$
What is the value of $\mathrm { P } ( A )$? (Here, $B ^ { C }$ is the complement of $B$.) [3 points]\\
(1) $\frac { 3 } { 16 }$\\
(2) $\frac { 7 } { 32 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) $\frac { 9 } { 32 }$\\
(5) $\frac { 5 } { 16 }$

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