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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 6 · Set 2 · Q22
A bag contains cards which are numbered from 5 to 100 such that each card bears a different number. A card is drawn at random. Find the probability…
A bag contains cards which are numbered from $\displaystyle 5$ to $\displaystyle 100$ such that each card bears a different number. A card is drawn at random. Find the probability that number on the card is
(i)
a perfect square
(ii)
a $\displaystyle 2$-digit number
Marking-scheme solution
Total possible outcomes = $\displaystyle 96$
(i) Number of favourable outcomes for perfect square \(\displaystyle =8\)
\[\mathrm{P} \text { (perfect square) }=\frac{8}{96} \text { or } \frac{1}{12}
\]
(ii) Number of favourable outcomes for a $\displaystyle 2$-digit number = $\displaystyle 90$
\[\mathrm{P} \text { (a 2-digit number) }=\frac{90}{96} \text { or } \frac{15}{16}
\]
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CBSE Class 10 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.