Compound Events
Independent and dependent events
Start with the basics and progress through 3 lessons. Each lesson builds on the previous one.
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Test Your Knowledge
10 questions, new mix each time (from 47)
In This Topic (3 lessons)
Probability of Compound Events
Learn how to calculate the probability when two or more events happen together or in sequence.
Independent Events
Learn what independent events are and how to calculate the probability of multiple independent events occurring together.
Dependent Events
Learn how one event affects the probability of another when outcomes are connected.
Compound probability deals with multiple events occurring together or in sequence. Understanding AND (intersection) and OR (union) probabilities, along with the distinction between independent and dependent events, is essential for complex probability problems.
What You'll Learn
- Calculate P(A and B) for independent events
- Calculate P(A or B) for any events
- Distinguish independent and dependent events
- Use multiplication and addition rules
- Solve multi-step probability problems
Frequently Asked Questions
What is the difference between AND and OR in probability?
AND (intersection): both events happen - multiply probabilities for independent events. OR (union): at least one happens - add probabilities and subtract overlap.
What makes events independent?
Events are independent if one occurring does not affect the other's probability. Coin flips are independent; drawing cards without replacement is dependent.
What is the addition rule?
P(A or B) = P(A) + P(B) - P(A and B). Subtract the overlap to avoid counting it twice.