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Mathematics · 2024 · 3 marks
CBSE 2024 · Region 5 · Set 1 · Q30
Three unbiased coins are tossed simultaneously. Find the probability of getting: (i) at least one head. (ii) exactly one tail. (iii) two heads and…
Three unbiased coins are tossed simultaneously. Find the probability of getting :
(i)
at least one head.
(ii)
exactly one tail.
(iii)
two heads and one tail.
Marking-scheme solution
Total number of possible outcomes = $\displaystyle 8$
(i) \(\displaystyle \mathrm{P}\) (at least one head) \(\displaystyle =\frac{7}{8}\)
(ii) \(\displaystyle \mathrm{P}\) (exactly one tail) \(\displaystyle =\frac{3}{8}\)
(iii) \(\displaystyle \mathrm{P}\) ($\displaystyle 2$ heads and one tail) \(\displaystyle =\frac{3}{8}\)
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.