IM 7.8.8 Lesson: Keeping Track of All Possible Outcomes

Elena, Kiran, and Priya each use a different method for finding the sample space of this experiment.

• Elena carefully writes a list of all the options: Heads 1, Heads 2, Heads 3, Heads 4, Heads 5, Heads 6, Tails 1, Tails 2, Tails 3, Tails 4, Tails 5, Tails 6.
• Kiran makes a table:

• Priya draws a tree with branches in which each pathway represents a different outcome:

Which method from the previous question do you prefer for this situation? Pause here so your teacher can review your work.

Flip a dime, then flip a nickel, and then flip a penny. Record whether each lands heads or tails up.

Han’s closet has: a blue shirt, a gray shirt, a white shirt, blue pants, khaki pants, and black pants. He must select one shirt and one pair of pants to wear for the day.

Spin a color, and then spin a number.

Spin the hour hand on an analog clock, and then choose a.m. or p.m.

A submarine sandwich shop makes sandwiches with one kind of bread, one protein, one choice of cheese, and two vegetables. How many different sandwiches are possible? Explain your reasoning. You do not need to write out the sample space.

 Breads: Italian, white, wheat Proteins: Tuna, ham, turkey, beans Cheese: Provolone, Swiss, American, none Vegetables: Lettuce, tomatoes, peppers, onions, pickles



Andre knows he wants a sandwich that has ham, lettuce, and tomatoes on it. He doesn’t care about the type of bread or cheese. How many of the different sandwiches would make Andre happy?

If a sandwich is made by randomly choosing each of the options, what is the probability it will be a sandwich that Andre would be happy with?

Describe a situation that involves three parts and has a total of 24 outcomes in the sample space.