Question

What is the point probability

Answer 1

29.4% of the time, the point will be on the shaded region of the circle.

Step-by-step explanation:

Step 1:

To find the probability of any event we divide the number of favorable outcomes by the total number of outcomes.

Here the favorable outcome is the point being on the shaded region and the total number of outcomes is the point being on any point on the circle.

Suppose the circle is divided into 360 portions i.e. the angle of a circle is 360°.

Step 2:

The number of favorable outcomes = 106 (106° of the 360°).

The total number of outcomes = 360 (the entire 360°).

The probability of the point being on the shaded region = $\frac{106}{360} = 0.29444.$

This is equal to 29.444%. Rounding this off to the nearest tenth, we get 29.4%.