csat-suneung 2018 Q10

csat-suneung · South-Korea · csat__math-humanities 3 marks Independent Events
Two events $A$ and $B$ are independent, and $$\mathrm { P } ( A ) = \frac { 2 } { 3 } , \quad \mathrm { P } ( A \cup B ) = \frac { 5 } { 6 }$$ Find the value of $\mathrm { P } ( B )$. [3 points]
(1) $\frac { 1 } { 3 }$
(2) $\frac { 5 } { 12 }$
(3) $\frac { 1 } { 2 }$
(4) $\frac { 7 } { 12 }$
(5) $\frac { 2 } { 3 }$
Two events $A$ and $B$ are independent, and
$$\mathrm { P } ( A ) = \frac { 2 } { 3 } , \quad \mathrm { P } ( A \cup B ) = \frac { 5 } { 6 }$$
Find the value of $\mathrm { P } ( B )$. [3 points]\\
(1) $\frac { 1 } { 3 }$\\
(2) $\frac { 5 } { 12 }$\\
(3) $\frac { 1 } { 2 }$\\
(4) $\frac { 7 } { 12 }$\\
(5) $\frac { 2 } { 3 }$