Question

A number x is chosen from 25,24,23, -2, -1,0,-1,2, 3. Find the probability that | x | < 3.

Answer 1

Total outcomes 9
Favourable 3
Reason = |x| suggests that x should be positive
the numbers that are smaller than three and positive are 3 .....0,2,3
so the probability is...
3/9
1/3
Hope it helps...,

Answer 2

Given:

9 outcomes are given which are: 25,24,23, -2, -1,0,-1,2, 3.

To find: probability that |x|<3.

Step-by-step explanation:

Step 1 of 1

The modulus of any number gives a positive value, that is mod of -3 will be 3.

So in the given outcomes |-2| = 2 and |-1| = 1.

The favorable outcomes for the condition | x | < 3 are -2, -1, 0, -1, 2.

Total outcomes are 9.

Therefore, the probability that | x | < 3 ⇒

$P(|x|<3)=\frac{5}{9} \\\\P(|x|<3)=0.55$

Probability that | x | < 3  is 0.55.