📝 Practice Worksheets
🔑 Key Concepts
- Compound probability can involve more than one pick, spin, roll, or choice.
- With replacement means the item is put back before the next pick, so the total stays the same.
- Without replacement means the item is not put back, so the total changes.
- When the first pick affects the second pick, the events are dependent.
- To find the probability of two events happening together, multiply the probabilities for each step.
✏️ Worked Examples
🧠 Math Vocabulary
- Probability: The likelihood that an event will happen.
- Compound Event: An event made up of two or more simple events.
- With Replacement: The selected item is put back before the next selection.
- Without Replacement: The selected item is not put back before the next selection.
- Dependent Events: Events where the outcome of one event affects the probability of another event.
- Independent Events: Events where the outcome of one event does not affect the probability of another event.
- Favorable Outcome: An outcome that matches the event being counted.
💡 Main Idea
In probability problems with more than one pick, it is important to know whether the item is replaced. With replacement keeps the total the same, while without replacement changes the number of favorable outcomes and the total number of outcomes for the next pick.
📚 What You Should Already Know
Students should know how to write probability as a fraction, identify favorable outcomes, multiply fractions, and simplify fractions.
🚀 What Comes Next
Next, students can compare independent and dependent events in more complex compound probability problems using tables, tree diagrams, and organized lists.
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