csat-suneung 2026 Q24

csat-suneung · South-Korea · csat__math 3 marks Conditional Probability Direct Conditional Probability Computation from Definitions
For two events $A , B$, $$\mathrm { P } ( A ) = \frac { 2 } { 5 } , \quad \mathrm { P } ( B \mid A ) = \frac { 1 } { 4 } , \quad \mathrm { P } ( A \cup B ) = 1$$ What is the value of $\mathrm { P } ( B )$? [3 points]
(1) $\frac { 7 } { 10 }$
(2) $\frac { 3 } { 4 }$
(3) $\frac { 4 } { 5 }$
(4) $\frac { 17 } { 20 }$
(5) $\frac { 9 } { 10 }$
For two events $A , B$,
$$\mathrm { P } ( A ) = \frac { 2 } { 5 } , \quad \mathrm { P } ( B \mid A ) = \frac { 1 } { 4 } , \quad \mathrm { P } ( A \cup B ) = 1$$
What is the value of $\mathrm { P } ( B )$? [3 points]\\
(1) $\frac { 7 } { 10 }$\\
(2) $\frac { 3 } { 4 }$\\
(3) $\frac { 4 } { 5 }$\\
(4) $\frac { 17 } { 20 }$\\
(5) $\frac { 9 } { 10 }$