Probabilities and Sample Space Name______
Breakfast at Deli
Bagel / FillingPlain / Cream cheese
Poppy / Butter
Everything
Garlic
Cinnamon raisin
“What would you like today,” asked the man behind the counter? He points to the menu on the board for you to decide. How many different combinations of a bagel and a filling can you have? You must order one item from each column.
Use your knowledge of tree diagrams to determine the sample space for this problem.
How many outcomes are in the sample space? ______
Food for thought: If you could also order your bagel toasted or not toasted, how would this change the sample space?
Determine the following probabilities:
Outcome / ProbabilityBonnie gets a Garlic bagel with cream cheese.
Jerry gets a plain bagel with butter
Toni gets a cinnamon raisin bagel with either butter or plain cream cheese.
Jerry doesn’t care which bagel as long as it has cream cheese
More Adventures at the Deli
Drink / DanishCoffee / Plain
Orange juice / Apple
Tea / Strawberry
Snapple / Cheese
“What else would you like today,” asked the man behind the counter? He points to the menu on the board for you to decide while in the line. How many different combinations of a drink and a Danish can you have?
Use your knowledge of tree diagrams to determine the sample space for this problem.
How many outcomes are in the sample space? ______
Food for thought: How would we go about calculating the sample space if you could choose a drink, and either a bagel with filling or a Danish?
Determine the following probabilities:
Outcome / ProbabilityBilly gets a cheese danish and a coffee.
Toni gets a Snapple and a plain danish
Mariana gets coffee or tea and an apple Danish
Lunch at the Deli
Drink / Sandwich / SideMilk / Roast beef / Pretzels
Water / Turkey / Chips
Iced tea / Chicken cutlet
Tuna salad
What are the lunch choices for today you ask? The menu has been put up on the board so you can decide while in the line. You must choose one drink, one sandwich, and one side.
Use your knowledge to determine the sample space for this problem. Make a tree diagram to help you answer the questions.
How many outcomes are in the sample space?
Lunch and Probability
What is the probability that someone will order iced tea with his or her lunch?
What is the probability that someone will order ice tea and a tuna salad sandwich with their lunch?
What is the probability that someone will order iced tea, a tuna salad sandwich, and a bag of chips?
What is the probability that someone will not order iced tea, will not order a tuna salad sandwich, and will not order a bag of chips?
More thoughtful questions:
- What is the probability that someone will select milk or ice tea?
- What is the probability that someone will select milk and ice tea?
- What is the probability that someone will select a ham sandwich?
- “I want tuna,” yelled Lem. If you know he ordered tuna, what is the probability he will also select chips on the side? (Hint, this changes the number of items in your sample space)
Dinner at John’s: How do you like your Pizza?
Drink / Pizza toppings / SaladCoke / Meatballs / Green
Dr Pepper / Mushrooms / Caesar
Root beer / Pepperoni
Snapple / Peppers/onions
Water / Sausage
We’re off to John’s of Bleecker Street for pizza. Wow! Look at all the options for toppings! Unfortunately, you can only choose one item from each column.
Use your knowledge to determine the sample space for this problem. Make a tree diagram to help you answer the questions.
How many outcomes are in the sample space?
Pizza and Probability
What is the probability that someone will order a coke with his or her dinner?
What is the probability that someone will order a green salad with his or her dinner?
What is the probability that someone will order a coke and green salad with their dinner?
What is the probability that someone will order a coke, a pepperoni pizza, and a green salad?
What is the probability that someone will order a pizza other than pepperoni?
More thoughtful questions:
- What is the probability that someone will order a green salad or Caesar salad?
- Tony has asked for a sausage pizza and green salad. Knowing he has ordered those two items what is the probability that he will order a Snapple? (Hint: the number of items in your sample space changes)
- Chayra can’t make up her mind. She has ordered a green salad and a root beer. “What kind of pizza should I have”? What is the probability that she will order mushroom?