csat-suneung 2011 Q5

csat-suneung · South-Korea · csat__math-humanities 3 marks Independent Events
Two events $A$ and $B$ are mutually independent, and $$\mathrm { P } ( A ) = \frac { 2 } { 3 } , \mathrm { P } ( A \cap B ) = \mathrm { P } ( A ) - \mathrm { P } ( B )$$ What is the value of $\mathrm { P } ( B )$? [3 points]
(1) $\frac { 1 } { 10 }$
(2) $\frac { 1 } { 5 }$
(3) $\frac { 3 } { 10 }$
(4) $\frac { 2 } { 5 }$
(5) $\frac { 1 } { 2 }$
Two events $A$ and $B$ are mutually independent, and
$$\mathrm { P } ( A ) = \frac { 2 } { 3 } , \mathrm { P } ( A \cap B ) = \mathrm { P } ( A ) - \mathrm { P } ( B )$$
What is the value of $\mathrm { P } ( B )$? [3 points]\\
(1) $\frac { 1 } { 10 }$\\
(2) $\frac { 1 } { 5 }$\\
(3) $\frac { 3 } { 10 }$\\
(4) $\frac { 2 } { 5 }$\\
(5) $\frac { 1 } { 2 }$