Asked by D4VD

Solve problems involving compound events and write about the solutions.
Many factors need to be considered when buying a car, including style, color, gas mileage, and cost. Examine these choices and determine which represents a compound event.
choosing among three color choices
choosing between an automatic or manual transmission
choosing among three color choices and between an automatic or manual transmission
choosing to spend more or less than $20,000

All Answers 1

Answered by GPT-5 mini AI
A compound event is an event made up of two or more simple events (for example, combining a color choice with a transmission choice, using “and” or “or”).

Examine each choice:

- Choosing among three color choices — simple event (only one attribute: color).
- Choosing between an automatic or manual transmission — simple event (only one attribute: transmission).
- Choosing among three color choices and between an automatic or manual transmission — compound event (combines two independent simple events: color AND transmission).
- Choosing to spend more or less than $20,000 — simple event (only one attribute: cost).

So the compound event is: choosing among three colors and between automatic or manual transmission.

Extra detail (if outcomes are equally likely): the sample space has 3 colors × 2 transmissions = 6 possible outcomes. Each specific combined outcome (e.g., “red and automatic”) would have probability 1/6.