csat-suneung 2006 Q4

csat-suneung · South-Korea · csat__math-humanities 3 marks Probability Definitions Probability Using Set/Event Algebra
For two events $A$ and $B$ in the sample space $S$, if they are mutually exclusive events, $A \cup B = S$, and $\mathrm { P } ( A ) = 2 \mathrm { P } ( B )$, what is the value of $\mathrm { P } ( A )$? [3 points]
(1) $\frac { 2 } { 3 }$
(2) $\frac { 1 } { 2 }$
(3) $\frac { 2 } { 5 }$
(4) $\frac { 1 } { 3 }$
(5) $\frac { 1 } { 4 }$
For two events $A$ and $B$ in the sample space $S$, if they are mutually exclusive events, $A \cup B = S$, and $\mathrm { P } ( A ) = 2 \mathrm { P } ( B )$, what is the value of $\mathrm { P } ( A )$? [3 points]\\
(1) $\frac { 2 } { 3 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) $\frac { 2 } { 5 }$\\
(4) $\frac { 1 } { 3 }$\\
(5) $\frac { 1 } { 4 }$