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Mathematics · 2023 · 4 marks
CBSE 2023 · Region 2 · Set 1 · Q38
Computer-based learning (CBL) refers to any teaching methodology that makes use of computers for information transmission. At an elementary school…
Computer-based learning (CBL) refers to any teaching methodology that makes use of computers for information transmission. At an elementary school level, computer applications can be used to display multimedia lesson plans. A survey was done on $\displaystyle 1000$ elementary and secondary schools of Assam and they were classified by the number of computers they had.
| Number of Computers | $\displaystyle 1$-$\displaystyle 10$ | $\displaystyle 11$-$\displaystyle 20$ | $\displaystyle 21$-$\displaystyle 50$ | $\displaystyle 51$-$\displaystyle 100$ | $\displaystyle 101$ and more |
| Number of Schools | $\displaystyle 250$ | $\displaystyle 200$ | $\displaystyle 290$ | $\displaystyle 180$ | $\displaystyle 80$ |
(i)
Find the probability that the school chosen at random has more than $\displaystyle 100$ computers.
(ii)
(a)
Find the probability that the school chosen at random has $\displaystyle 50$ or fewer computers.
OR
(b)
Find the probability that the school chosen at random has no more than $\displaystyle 20$ computers.
(iii)
Find the probability that the school chosen at random has $\displaystyle 10$ or less than $\displaystyle 10$ computers.
Marking-scheme solution
(i) \(\displaystyle \mathrm{P}\) (more than $\displaystyle 100$ computers) \(\displaystyle =\frac{80}{1000}\) or \(\displaystyle 0 \cdot 08\)
(ii) (a) $\displaystyle 50$ or fewer computers \(\displaystyle =250+200+290=740\) Required probability \(\displaystyle =\frac{740}{1000}\) or \(\displaystyle 0 \cdot 74\)
OR
(ii) (b) No more than $\displaystyle 20$ computers \(\displaystyle =250+200=450\) Required probability \(\displaystyle =\frac{450}{1000}\) or \(\displaystyle 0 \cdot 45\)
(iii) \(\displaystyle \mathrm{P}\) ($\displaystyle 10$ or less than $\displaystyle 10$ computer) \(\displaystyle =\frac{250}{1000}\) or \(\displaystyle 0 \cdot 25\)
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CBSE Class 10 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.