10.12Geometric Probability
Quick Answer
Geometric probability = (measure of favorable region) ÷ (measure of total region). The measure can be length, area, or volume depending on the context.
Essential Question
How can the ratio of geometric measures — lengths, areas, or volumes — be used to calculate the probability of a random event?
Learning Goals
- 1Define geometric probability.
- 2Calculate geometric probability using length ratios.
- 3Calculate geometric probability using area ratios.
- 4Calculate geometric probability using volume ratios.
- 5Solve real-world problems involving geometric probability.
Key Vocabulary
Geometric probability
A probability calculated as the ratio of a favorable geometric measure to the total geometric measure.
Favorable region
The part of the sample space that corresponds to the desired outcome.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.