body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

8. Geometric Probability

Continue to next subchapter

Exercise 12 Page 671

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.

1

Practice makes perfect

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 AK.

The probability that the point is on AK is the ratio of the length of AK to the length of AK. P(The point is onAK)=AK/AK Looking at the given number line, we can see that AK= 10.

We can substitute these values in the above formula to find the probability that the point lies on AK.

P(The point is onAK)=AK/AK

AK= 10, AK= 10

P(The point is onAK)=10/10

a/a=1

P(The point is onAK)=1

Subchapter links

Lesson Check p.671

Practice and Problem-Solving Exercises p.671-673

Standardized Test Prep p.674

Mixed Review p.674