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Mathematics · 2025 · 1 mark
CBSE 2025 · Region 7 · Set 3 · Q17
If A and B are two events such that P ( B )=1/5, P ( A ∣ B )=2/3 and P ( A ∪ B )=3/5, then P ( A ) is:
If A and B are two events such that $\displaystyle \mathrm{P}(\mathrm{B})=\frac{1}{5}, \mathrm{P}(\mathrm{A} \mid \mathrm{B})=\frac{2}{3}$ and $\displaystyle \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{3}{5}$, then $\displaystyle \mathrm{P}(\mathrm{A})$ is :
Official answer
(D)
$\displaystyle \frac{8}{15}$
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CBSE Class 12 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.