Finding probabilities of compound events
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 15: Probability and Statistics) learn to find probabilities of compound events using organized lists, tables, and tree diagrams. A compound event involves two or more simple events, and its probability is the ratio of favorable compound outcomes to total outcomes in the sample space.
Key Concepts
Find probabilities of compound events using organized lists, tables, and tree diagrams. A compound event is an event that can be viewed as two or more simpler events happening. The probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
Common Questions
What is a compound event in probability?
A compound event is an event that involves two or more simple events happening together. For example, rolling a die AND flipping a coin is a compound event.
How do you find the probability of a compound event?
List all outcomes in the sample space (using a list, table, or tree diagram). Count the favorable outcomes that satisfy both conditions. P = favorable/total.
How many outcomes are in a compound event with a die (6 sides) and a coin (2 sides)?
6 x 2 = 12 total compound outcomes. P(rolling 4 AND flipping heads) = 1/12.
What chapter in Big Ideas Math Advanced 2 covers compound event probabilities?
Chapter 15: Probability and Statistics in Big Ideas Math Advanced 2 (Grade 7) covers finding probabilities of compound events.
What tools help find compound event probabilities?
Organized lists, two-way tables, and tree diagrams systematically show all possible outcomes. Use the method that best fits the number and structure of events.