Sample Space

A tree diagram is useful in determining the (a)   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? (a)  

• 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? (a)  

• 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?  

Mathematical Equivalence

ON

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? (a)  

• 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? (a)  

• 2/12
• 3/12
• 4/12
• 5/12

How many total outfit options are represented?

Mathematical Equivalence

ON

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? (a)  

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

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

• 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. (a)  

• 1
• 1_/2
• 1/₄
• 1/8