Question

The following number line contains the points A, B, C, D, and E.

Complete each of the following prompts with a numerical answer only.

Enter answers in their most simplified form.

The probability that a point chosen at random on AE is on AB is...

The probability that a point chosen at random on AE is on BD is...

The probability that a point chosen at random on AE is not on BD is...

The probability that a point chosen at random on AE is not on AB is...

The probability that a point chosen at random on AE is on BC is...

The probability that a point chosen at random on AE is not on BC is...

1/2

4/5

1/5

7/10

The probability that a point chosen at random on AE is on AB or CD is...

The probability that a point chosen at random on AE is on AC and BC is...

The probability that a point chosen at random on AE is on AB or BD is...

The probability that a point chosen at random on AE is on BC and DE is...

The probability that a point chosen at random on AE is on BC or DE is...

0/10

7/10

1/2

1/5

Answer 1

The probability that a point chosen at random on AE is on AB is 1/5

What is a Number Line?

This refers to the line that shows numbers from left to right and is marked at intervals that are negative to the left and positive to the right.

Based on the keen observation, there are 10 line segments that have an equal length and from the two points, there are two equal line segments,

So, the probability that a random point would fall between A and B is:

Number of line segments between AB/ number of line segments between AE

= 2 /10

= 1/5

Read more about number lines here: