**Q1: **

Madison 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.

**Q2: **

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: **

The given probability tree shows two events: and . is the event of it raining and is the event of a group of friends playing football.

Determine the probability of the friends playing football given that it rains.

Determine the probability of the friends playing football and it raining.

Determine the probability of the group of friends playing football irrespective of whether it rains.

**Q9: **

A fair coin is flipped twice and the results are recorded, writing H for heads and T for tails. Which of the following represents the sample space of this random experiment?

- A
- B
- C
- D

**Q10: **

Which experiment can be modelled by this tree diagram?

- Atossing three coins
- Btossing eight coins
- Ctossing a coin eight times
- Dtossing a coin three times

**Q11: **

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

**Q12: **

A fair coin is flipped and a fair die is rolled. Which of the following represents the event of getting a head on the coin and rolling and odd number on the die?

- A
- B
- C
- D