Probability that involves a geometric measure such as length or area is called geometric probability. Suppose that a region A contains a region B.
Suppose now that a point Q in region A is chosen at random. Then, the probability that point Q is in region B is given by the ratio of the area of region B to the area of region A.
P(Qis inB)=Area of regionB/Area of regionA
We can also use angle measures to find geometric probability. The ratio of the area of a sector of a circle to the area of the entire circle is the same as the ratio of the central angle of the sector to 360. With this in mind, let's consider the given diagram.
We want to find the probability of the pointer landing on blue. We can see that the angle measure of the blue region is equal to 115^(∘). We can use this value to create a ratio out of 360.
