We can use geometric models to solve certain types of probability problems. In geometric probability, points on a segment or in a region of a plane represent outcomes. The geometric probability of an event is a ratio that involves geometric measures such as length or area. Consider the given diagram.
We are told that a point on AK is chosen at random, and want to find the probability that the point lies on FG.
The probability that the point is on FG is the ratio of the length of FG to the length of AK.
P(The point is onFG)=FG/AK
Looking at the given number line, we can see that AK= 10 and FG= 1.
We can substitute these values in the above formula to find the probability that the point lies on FG.
P(The point is onFG)=FG/AK ↓ P(The point is onFG)=1/10
