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Probability Tree Diagrams
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Probability Tree Diagrams
🎯 Part 1: Understanding Tree Diagrams
1. Look at this scenario: You flip a coin twice. Which tree diagram correctly shows all possible outcomes?
A tree with 2 branches total
A tree with 4 branches total
A tree with 6 branches total
A tree with 8 branches total
2. If you roll a die and flip a coin, how many total possible outcomes are there?
6
8
12
2
3. What is the probability of getting heads on the first flip AND tails on the second flip when flipping a coin twice?
1/2
1/4
1/8
3/4
4. Which of the following are advantages of using tree diagrams? (Check all that apply)
Shows all possible outcomes systematically
Helps calculate theoretical probability
Makes it easier to see compound events
Guarantees experimental results will match
📊 Part 2: Creating and Using Tree Diagrams
5. Draw a tree diagram for rolling a die and then flipping a coin. Show all possible outcomes.
6. Using your tree diagram from question 5, what is the probability of rolling an even number AND getting heads?
Show your work: ________________
Final answer: ________________
7. You conducted an experiment flipping two coins 40 times. You got two heads 8 times. What is the experimental probability of getting two heads?
8. Compare your answer from question 7 to the theoretical probability of getting two heads. Explain why they might be different.
🎲 Part 3: Real-World Applications
9. At Crockett Middle School, the probability that it rains during lunch is 3/10. What is the probability that it does NOT rain during lunch?
Probability of NOT raining: ________________
Explain the relationship between an event and its complement: ________________
10. A basketball player makes 70% of her free throws. If she shoots two free throws, draw a tree diagram and find the probability she makes both shots.
Probability of making both shots: ________________
11. Explain how tree diagrams and simulations can help you make better predictions in real life. Give one specific example.
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