A number X is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3. What is the probability that $$|X| < 2$$
A. $$\frac{{5}}{{7}}$$
B. $$\frac{{3}}{{7}}$$
C. $$\frac{{3}}{{5}}$$
D. $$\frac{{1}}{{3}}$$
Answer: Option B
Solution(By Examveda Team)
$$|X|$$ can take 7 values.To get $$|X| < 2$$ (i.e., -2 < x < + 2) take X = {-1, 0, 1}
$$P\left( {|X| < 2} \right) = $$ $$\frac{{{\text{Favourable Cases}}}}{{{\text{Total Cases}}}}$$
$$ = \frac{3}{7}$$
This Question Belongs to Arithmetic Ability >> Probability
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