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A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that $$|X| < 2$$
Answer & Solution
Correct Answer:
Option
B
$$|X|$$ can take 7 values.
To get $$|X| < 2$$ (i.e., -2 < x < + 2) take X = {-1, 0, 1}
$$P\left( {|X| < 2} \right) = $$ $$\frac{{{\text{Favourable Cases}}}}{{{\text{Total Cases}}}}$$
$$ = \frac{3}{7}$$
To get $$|X| < 2$$ (i.e., -2 < x < + 2) take X = {-1, 0, 1}
$$P\left( {|X| < 2} \right) = $$ $$\frac{{{\text{Favourable Cases}}}}{{{\text{Total Cases}}}}$$
$$ = \frac{3}{7}$$
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