csat-suneung 2025 Q24

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