# Multi-step Experiments

Warmup

Activity #1

`Write a Sample Space for a Compound Event.` • Write the sample space and tell how many outcomes there are. Event: Roll a standard number cube. Then flip a quarter.

• Write the sample space and tell how many outcomes there are. Event: Select a month. Then select 2020 or 2025.

• On a graph of the area of a square vs. its perimeter, a few points are plotted. Add some more ordered pairs to the graph.

Is there a proportional relationship between the area and perimeter of a square? Explain how you know.

Activity #2

`Exercise Questions.` (1.) Suppose you roll two number cubes. What is the probability of getting: Both cubes showing the same number?

(2.) Suppose you roll two number cubes. What is the probability of getting: Exactly one cube showing an even number?

(3.) Suppose you roll two number cubes. What is the probability of getting: At least one cube showing an even number?

(4.) Suppose you roll two number cubes. What is the probability of getting: Two values that have a sum of 8?

(5.) Suppose you roll two number cubes. What is the probability of getting: Two values that have a sum of 13?

(6.) Jada flips three quarters. What is the probability that all three will land showing the same side?

Challenge #1

Consider writing the sample space for spinning each of these spinners once.

Challenge #2

A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each. A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion band?

Challenge #3

The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?

Quiz Time