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Mathematics · 2025 · 3 marks
CBSE 2025 · Region 3 · Set 3 · Q26
All face cards of spades are removed from a pack of 52 playing cards and the remaining pack is shuffled well. A card is then drawn at random from the…
All face cards of spades are removed from a pack of $\displaystyle 52$ playing cards and the remaining pack is shuffled well. A card is then drawn at random from the remaining pack. Find the probability of getting :
(a)
a face card
(b)
an ace or a jack
Marking-scheme solution
After removing face cards of spades, total number of cards \(\displaystyle =52-3=49\)
(a) \(\displaystyle P(\) a face card \(\displaystyle )=\frac{9}{49}\)
(b) \(\displaystyle \mathrm{P}(\) an ace or a jack \(\displaystyle )=\frac{7}{49}\) or \(\displaystyle \frac{1}{7}\)
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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.