Sample Spaces Tree Diagrams

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

• result

• possible outcomes

• event

• none of the above

How many possible outcomes in total?

• 6

• 3

• 2

• 4

How many possible outcomes in total?

• 12

• 22

• 3

• 6

How many possible outcomes in total?

• 6

• 9

• 10

• 12

Which shows the sample space for flipping two coins?

• H, T
• HH, HT, TH, TT
• HH, TT
• Dime, Nickel

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

• 1/3

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

Use the tree diagram to find the probability of spinning the same number in succession when the spinner is spun 2 times.

• 1

• 1/3

• 1/4

• 1/2

A spinner with 2 blue and 1 red segment is spun. the color is recorded. The spinner is spun a second time. The tree diagram showing the sample space is given alongside. The Probability of getting two different colours is:

• 1/9

• 3/9

• 4/9

• 4