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Mathematics · 2022 · 2 marks
CBSE 2022 · Region 2 · Set 1 · Q5
Probabilities of A and B solving a specific problem are 2/3 and 3/5, respectively. If both of them try independently to solve the problem, then find…
Probabilities of A and B solving a specific problem are $\displaystyle \frac{2}{3}$ and $\displaystyle \frac{3}{5}$, respectively. If both of them try independently to solve the problem, then find the probability that the problem is solved.
Marking-scheme solution
\[\begin{aligned}
P(\text { Problem is solved }) & =1-P(\text { Problem not solved }) \\
& =1-P(\bar{A}) P(\bar{B})
\end{aligned}
\]
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CBSE Class 12 Mathematics past-paper question from the 2022 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.