A number x is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3 the probability that | x | < 2 is
Question:
A number x is chosen at random from the numbers −3, −2, −1, 0, 1, 2, 3 the probability that | x | < 2 is
(a) $\frac{5}{7}$
(b) $\frac{2}{7}$
(c) $\frac{3}{7}$
(d) $\frac{1}{7}$
Solution:
GIVEN: A number x is chosen from the numbers −3, −2, −1, 0, 1, 2 and 3
TO FIND: Probability of getting 
Total numbers are 7
Number $x$ such that $|x|<2$ are $-1,0,1$
Total numbers $x$ such $|x|<2$ are 3
We know that PROBABILITY $=\frac{\text { Number of favourable event }}{\text { Total number of event }}$
Hence the probability of getting a number $x$ such that $|x|<2$ is equal to $\frac{3}{7}$
Hence the correct option is $(c)$