# 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 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 $(c)$