Fundamental Counting Principle and Probability Lecture Notes

These flashcards cover key concepts relating to the Fundamental Counting Principle and Probability, including definitions, methods for determining probability, and the importance of tree diagrams.

What is the Fundamental Counting Principle?

When there are m ways to do one thing, and n ways to do another, then there are m×n ways of doing both.

What is the definition of a sample space in probability?

The list of all possible outcomes.

What is an event in the context of probability?

Any collection of one or more outcomes in the sample space.

How can tree diagrams be useful in counting outcomes?

Tree diagrams visually represent all possible outcomes of an experiment.

What does relative frequency estimate in probability?

Probability of outcomes based on experimental data.

What are the learning goals related to the Fundamental Counting Principle?

To find and record all outcomes and their probability in various contexts.

How do you determine probabilities using relative frequency?

By using outcomes and their frequencies to estimate the likelihood of events.

What method is commonly used to draw a visual representation of outcomes?

Tree diagram.

What is meant by the term 'probability tree diagram'?

A diagram that shows all branches of outcomes and their associated probabilities.

How are outcomes classified in probability?

By categorizing them according to different events or contexts.