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)$\frac{1}{7}$

Answer 1

SOLUTION :  

The correct option is (c) : 3/7

Given : A number x is chosen from the numbers -3, - 2, - 1, 0, 1, 2 and 3

Total number of outcomes = 7

Number | x | < 2 : -1, 0, 1  

Total number of x = 3

Let E = Event that | x | < 2

Number of favourable outcomes to E = 3

Probability P(E) = Number of favourable outcomes / total number of outcomes

P(E) = 3/7  

Hence, the probability of getting that | x | < 2 , P(E) = 12/13  .

HOPE THIS ANSWER WILL HELP  YOU….

Answer 2

Total elementary event=7

Favourable elementary events=3

So probability=3/7