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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

8. Geometric Probability

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Exercise 19 Page 672

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.

$\frac{5}{9},$ or about $56 %$

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 in the figure is chosen at random, and want to find the probability that the point lies in the shaded region. The probability that the point is in the shaded region is the ratio of the area of the shaded region to the area of the figure.

P (The point is in the shaded region) = \frac{Area of the shaded region}{Area of the figure}

Subchapter links

Lesson Check p.671

Practice and Problem-Solving Exercises p.671-673

Standardized Test Prep p.674

Mixed Review p.674