csat-suneung 2010 Q5

csat-suneung · South-Korea · csat__math-humanities 3 marks Probability Definitions Probability Using Set/Event Algebra
Two events $A$ and $B$ are mutually exclusive, and $$\mathrm { P } ( A ) = \mathrm { P } ( B ) , \quad \mathrm { P } ( A ) \mathrm { P } ( B ) = \frac { 1 } { 9 }$$ What is the value of $\mathrm { P } ( A \cup B )$? [3 points]
(1) $\frac { 1 } { 6 }$
(2) $\frac { 1 } { 3 }$
(3) $\frac { 1 } { 2 }$
(4) $\frac { 2 } { 3 }$
(5) $\frac { 5 } { 6 }$
Two events $A$ and $B$ are mutually exclusive, and
$$\mathrm { P } ( A ) = \mathrm { P } ( B ) , \quad \mathrm { P } ( A ) \mathrm { P } ( B ) = \frac { 1 } { 9 }$$
What is the value of $\mathrm { P } ( A \cup B )$? [3 points]\\
(1) $\frac { 1 } { 6 }$\\
(2) $\frac { 1 } { 3 }$\\
(3) $\frac { 1 } { 2 }$\\
(4) $\frac { 2 } { 3 }$\\
(5) $\frac { 5 } { 6 }$