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 QT is chosen at random, and want to find the probability that the point X lies on RT.
The probability that the point X is on RT is the ratio of the length of RT to the length of QT.
P(X is onRT)=RT/QT
Looking at the given number line, we can see that RT= 8 and QT= 14.
We can substitute these values in the above formula to find the probability that the point lies on RT.
