10-8 Geometric Probability
Objective
To use segment and area models to find the probabilities of events
Dynamic Activity
- Geometric Probability
Lesson Vocabulary
- geometric probablilty
In the Solve It, you found a probability involving a coin. In this lesson you will find probabilities based on lengths and areas. The probability of an event, written P(event), is the likelihood that the event will occur.
When the possible outcomes are equally likely, the theoretical probability of an event is the ratio of the number of favorable outcomes to the number of possible outcomes.
Recall that a probability can be expressed as a fraction, a decimal, or a percent.
Essential Understanding You 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.
Take note Key Concept: Probability and Length
Point S on
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs