Key Concepts:
- Identifying Favorable Outcomes in Grouped Data: When objects are categorized, the probability of selecting an object from a particular category can be determined.
- Using Totals and Subsets for Probability: Understanding how different category counts affect probability calculations.
Skills Covered:
- Computing probabilities when objects belong to multiple categories (e.g., different colors, shapes, or classifications).
- Understanding how probability applies in structured datasets.
Example Problems:
- A gemstone collection has 50 color X, 30 color Y, and 20 color Z gemstones. What is the probability of selecting a color Y gemstone?
- A school has 500 students, of which 200 play an instrument. What is the probability of randomly selecting a student who plays an instrument?