Question

The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of 2 inches.

An unshaded square inside of a large blue square.

What is the probability that a point chosen at random is in the blue region?

Answer 1

A 1/8

Explanation:

just took the thingy on edg

Answer 2

`(15)/(16)`

Explanation:

The picture of the question in the attached figure

step 1

Find the area of the large square

`A=8^2=64\ in^2`

step 2

Find the area of the smaller white square

`A=2^2=4\ in^2`

step 3

Find the area of the blue region

Subtract the area of the smaller white square from the area of the larger square

`64-4=60\ in^2`

step 4

Find the probability

we know that

To find out the probability that a point chosen at random is in the blue region, divided the area of the blue region by the area of the larger square

so

`(60)/(64)`

Simplify

`(15)/(16)`