Question

Given the square, what is the probability randomly choosing a point from the shaded region.

Answer 1

.78
.39
.61
.5

Answer 2

You need to calculate the Area of the square using the following formula

A=L^2

In this case is a square so all sides have the same Length.

You will also need to calculate the area of the half circle inside the square.

The area of a FULL circle is given by the formula

A=Pi*r^2

but we only have HALF a circle so we divide by the Area by two

A/2=(Pi*r^2)/2

Once you have the Area of both figures (the half circle and the square) subtract one from the other. With that you could establish a probability dividing the area of the half circle from the total area. Remember that in this case the total area is equal to the area of the square.