AQR (5): Tree Diagrams and Probability

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

• result

• possible outcomes

• event

• none of the above

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

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

• 1/2

• 1/4

• 3/4

• 1/3

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 an even number and flipping a head?

• ³/₁₂
• ¹/₂
• ⁴/₁₂
• ⁰/₁₂

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

A bag contains 3 white balls, 4 green balls. 2 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.

• 5/13
• 5/42
• 6/42
• 3/7

A bag contains 3 white balls, 4 green balls. 3 balls are drawn from the bag without replacement.
Use a tree diagram to find the probability that the balls are white colors.

• 5/18
• 6/210
• 6/18
• 5/210

How many total outfit options are represented?

• 12
• 22
• 3

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW
• TW, TM, TC, CW, PW
• TW, TM, CW, CM, PW, PM
• TCP, MW