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

Answer:

$\frac{15}{16}$

Step-by-step 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

$\frac{60}{64}$

Simplify

$\frac{15}{16}$