Creating Tree Diagrams for Compound Events
Creating tree diagrams for compound events is a Grade 7 probability concept in Big Ideas Math Advanced 2, Chapter 15: Probability and Statistics. A tree diagram systematically displays all possible outcomes by branching for each event, with each path from start to finish representing one complete outcome. For example, flipping a coin then rolling a die produces 2 times 6 equals 12 total outcomes.
Key Concepts
A tree diagram systematically displays all possible outcomes of compound events by creating branches for each outcome of the first event, then extending branches for each outcome of subsequent events from every existing branch.
Common Questions
What is a tree diagram in probability?
A tree diagram is a visual tool that lists all possible outcomes of compound events by creating branches for each outcome at each stage. Each complete path from start to end represents one possible outcome.
How do you make a tree diagram for two events?
Draw branches for each outcome of the first event, then from each branch draw new branches for each outcome of the second event. Count all the endpoints to find the total number of outcomes.
How many outcomes does a two-event tree diagram have?
Multiply the number of outcomes for each event together. For example, a coin flip (2 outcomes) followed by a 6-sided die roll (6 outcomes) gives 2 times 6 equals 12 total outcomes.
What textbook covers tree diagrams for probability in Grade 7?
Big Ideas Math Advanced 2, Chapter 15: Probability and Statistics covers tree diagrams for listing compound event outcomes.