A game of chance consists of spinning a wheel which comes to rest at one of the numbers from 1 to 10 (as shown in the…

CBSE Class 10 Maths PYQ · Probability · Number Based · 3 Marks · March 2025 · Basic

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513 Marks · March 2025 · Basic
A game of chance consists of spinning a wheel which comes to rest at one of the numbers from $1$ to $10$ (as shown in the given figure) with equal probabilities.
What is the probability that the wheel stops at
(i) a prime number greater than $2$ ?
(ii) an odd number less than $9$ ?
(iii) a multiple of $4$ ?
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Solution: (i) $P(\text{a prime number greater than } 2) = \frac{3}{10}$ [1 mark]
(ii) $P(\text{an odd number less than } 9) = \frac{4}{10}$ or $\frac{2}{5}$ [1 mark]
(iii) $P(\text{a multiple of } 4) = \frac{2}{10}$ or $\frac{1}{5}$ [1 mark]
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