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Mathematics · 2025 · 3 marks
CBSE 2025 · Region 6 · Set 1 · Q31
A person is Head of two independent selection committees I and II. If the probability of making a wrong selection in committee I is 0.03 and that in…
A person is Head of two independent selection committees I and II. If the probability of making a wrong selection in committee I is $\displaystyle 0.03$ and that in committee II is $\displaystyle 0.01$ , then find the probability that the person makes the correct decision of selection :
(i)
in both committees
(ii)
in only one committee
Marking-scheme solution
(i)
P (correct decision in both committees) $\displaystyle =(1-0.03) \cdot(1-0.01)=0.9603$
(ii)
$\displaystyle \mathrm{P}($ correct decision in one committee) $\displaystyle =0.03 .(1-0.01)+(1-0.03) .0 .01$
\[\text { = } 0.0394
\]
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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.