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Probability
RD Sharma
CBSE
Grade 10
Question:
If a number $x$ is chosen at random from the numbers $-3, -2, -1, 0, 1, 2, 3$, the probability that $|x| < 2$ is: (a) $\dfrac{3}{7}$ (b) $\dfrac{2}{7}$ (c) $\dfrac{5}{7}$ (d) $\dfrac{1}{7}$
Step-by-Step Solution
Key Concept: $|x| < 2 \Rightarrow x \in \{-1, 0, 1\}$ (3 outcomes out of 7). $P = \dfrac{3}{7}$.
Favourable: $\{-1, 0, 1\} \Rightarrow P = 3/7$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Evaluating $3/7$: 1.0 Mark
Correct Answer:$\dfrac{3}{7}$
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