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Probability: Tree Diagrams
Objectives:
Using tree diagrams Finding possible outcomes and probability
Exercises:
- What is the sample space of flipping a penny?
- Finish filling in the tree diagram to show all the possible outcomes in an experiment when we flip three coins: a penny, a nickel, and a quarter.
Sample
Space
Penny Nickel Quarter
Start
Heads
Heads
HHH
Tails HTT
Tails Heads
Tails
a. How many outcomes are possible? List all the outcomes.
b. What is the probability you get 3 tails?
c. What is the probability you get 2 tails?
d. What is the probability you get at least 2 tails?
e. What is the probability you get at most 1 head?
f. What is the probability you get 4 heads?
- Finish filling in the tree diagram that represents the birth of three children.
Sample
Space
3 rd
Child
2 nd
Child
1 st
Child
Start
Boy
Girl
Boy
Girl
a. How many outcomes are possible? List all the outcomes.
b. What is the probability you get at most 2 girls?
c. What is the probability you get all boys?
d. What is the probability you get at least 1 boy?
e. What is the probability you get 4 girls?
