If a number $x$ is chosen at random from the numbers $-3, -2, -1, 0, 1, 2, 3$, then find the probability of $x^2

Question

If a number $x$ is chosen at random from the numbers $-3, -2, -1, 0, 1, 2, 3$, then find the probability of $x^2 < 4$.

Accepted Answer

Step 1: Number of favourable outcomes $= 3$ i.e., $\{-1, 0, 1\}$. $P(x^2 < 4) = \frac{3}{7}$

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