# Worksheet: Tree Diagrams

In this worksheet, we will practice representing a sample space using a tree diagram.

**Q5: **

Mariam has drawn a tree diagram to represent the sample space of tossing two coins.

By extending the tree diagram or otherwise, find the number of outcomes in the sample space of the experiment of tossing two coins and spinning two spinners: one with 10 equal sections labeled 1 to 10 and one with 12 equal sections labeled 1 to 12.

**Q6: **

A pizza parlor offers customizable pizzas. Customers can choose one of two options for the base, cheese, and sauce and then add an optional topping.

Base | Cheese | Sauce | Topping (at most one) |
---|---|---|---|

Thin crust or deep pan | Cheddar or mozzarella | Tomato or barbecue | Pepperoni, pineapple, or mushroom |

Using tree diagrams, or otherwise, represent all the possible pizza combinations and determine how many different pizzas there are.

**Q8: **

A fair coin is flipped three times and the results are recorded, writing H for heads and T for tails. Which of the following represents the event of getting no heads?

- A
- B
- C
- D

**Q9: **

Which of the following describes the sample space of a random experiment?

- AThe set of all impossible outcomes of a random experiment.
- BThe set of some possible outcomes of a random experiment.
- CAn experiment which we can determine all its possible outcomes.
- DThe set of all possible outcomes of a random experiment.

**Q12: **

A coin is flipped three times. Which of the following is the event that at least two tails appear?

- A
- B
- C
- D