Answer:
The probability that point falls in the white area is 2/3 or 0.667
Step-by-step explanation:
Consider the provided figure.
As we know there are 360 degrees in a circle.
The diameter divides the circle in two equal half 180° each.
The angle measure of white part in upper half is 180°-60°-60°=60°
The total angle measure of white part in the provided figure is: 180°+60°=240°
Now we need to find the probability that a random selected point falls in the white area
[tex]Probability=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}[/tex]
Substitute Number of favorable outcomes=240° and Total number of outcomes = 360° in the above formula.
[tex]Probability=\frac{240}{360}[/tex]
[tex]Probability=\frac{2}{3}\ \text{or}\ 0.667[/tex]
Hence, the probability that point falls in the white area is 2/3 or 0.667
