9.8: Tree Diagrams

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

A tree diagram is useful in determining the __________of a probability experiment.

• result

• possible outcomes

• event

• none of the above

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  

• 6
• 12
• 24
• 36

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling a less than 6 and flipping a head?

• ²/₁₂
• ³/₁₂
• ⁴/₁₂
• ⁵/₁₂

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

• 12 outfits

• 22 outfits

• 3 outfits

• 7 outfits

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

• 1

• 1_/2

• 1/₄

• 1/8

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

• 
• 
• 
• 

Draw a tree diagram in your math workbook.  Then answer this question. A girls' choir is choosing a uniform for their concert. They can pick red, green, or purple sweaters, and they can pick tan, white, or black skirts. The shoes they need come in gold and black. Assuming all the colors go together, how many different combinations can the choir pick?

• 3 combinations
• 8 combinations
• 12 combinations
• 18 combinations

 Draw a tree diagram in your math workbook.  Then answer this question. Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

• 7 combinations
• 12 combinations
• 3 combinations
• 4 combinations