1. A game consists of spinning the spinner shown below and then flipping a coin.

• Create a organized visual representation that shows all possible outcomes.
• Describe the sample space (list all possible outcomes).
• In five trials, you get the following results:

BT, GT, RH, GT, OH

• What is the experimental probability of getting heads?
• What is the theoretical probability of landing on red?
• What is the theoretical probability of NOT landing on red?
• What is the theoretical probability of landing on green AND getting heads?
• What is the theoretical probability of landing on purple OR getting tails?

1. You're planning a party for 90 people, and some of your guests have dietary restrictions.

• 28 people won't eat anything with gluten
• 16 won't eat anything with dairy
• 7 won't eat anything with gluten or dairy

A. What is the probability that a randomly-chosen guest at your party has a dietary restriction involving either gluten or dairy?

B. What is the probability that a randomly-chosen guest at your party has no dietary restrictions?

Show how you can arrive at the answers using formulas (if you want to include a visual method as

well, you may).

1. A prize bag at a fundraiser contains three gift cards for a spa, four gift cards for a jeweller, seven gift cards for a bakery, and eight gift cards for a sporting goods store. You win the door prize, which means you get to select two of the gift cards for yourself (before anyone else chooses theirs). The only catch? You have to pick the cards blindly out of a bag.

• What is the probability that you will draw two gift cards for the jeweller?
• What is the probability that you will draw one gift card for the spa and one gift card for the bakery?

Show how you can arrive at the answers using formulas (if you want to include a visual method as

well, you may).