A number x is chosen at random from the numbers -3,-2,-1,0,1,2,3 What is the probability that |x| 2 - Maths - Probability

Question

A number x is chosen at random from the numbers
-3,-2,-1,0,1,2,3 What is the probability
that |x|<2 ?

Mayank Bhardwaj · Accepted Answer

The given numbers are â€“3, â€“2, â€“1, 0, 1, 2, 3 $| x | = x i f x \geq 0 = - x i f x < 0$ For only three values i e , â€“1, 0 and 1 $| x | < 2$ Number of total outcomes = 7 Number of favourable outcomes = 3 $Re q u i r e d p r o b a b i l i t y = \frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{N u m b e r o f t o t a l o u t c o m e s} = \frac{3}{7}$

A number x is chosen at random from the numbers -3,-2,-1,0,1,2,3 . What is the probability that |x|<2 ?