Probability Concepts and Sample Spaces

The video tutorial covers the concept of sample space in probability, using examples like tossing paper cups and drawing colored cubes. It explains how to list all possible outcomes of an experiment and provides exercises to practice identifying sample spaces. The tutorial also includes a class activity involving a paper cup toss and exercises on predicting outcomes using a spinner.

What is a sample space in probability?

• The result of a single trial

• The least likely outcome

• The set of all possible outcomes

• The most likely outcome

In Jamal's paper cup experiment, how many different ways can the cup land?

• Five ways

• Four ways

• Three ways

• Two ways

When drawing a colored cube from a bag, what does the sample space represent?

• All possible colors that can be drawn

• The most common color in the bag

• The color with the lowest probability

• The color with the highest probability

What are the possible outcomes when shooting a free throw in basketball?

• Bounce out or in

• Airball or swish

• Hit the rim or backboard

• Make it or miss it

What numbers can a single die show when rolled?

• 1 to 5

• 1 to 6

• 0 to 6

• 1 to 7

If a spinner is divided into three equal sections, what is the probability of landing on any one section?

• 1/2

• 1/5

• 1/3

• 1/4

How many times would you expect a spinner to land on a section if spun 100 times and each section is equally likely?

• 25 times

• 33 times

• 50 times

• 100 times

What is the probability of landing on a number 3 if the spinner section for 3 is half the size of the spinner?

• 1/3

• 1/5

• 1/2

• 1/4

In a spinner with sections of different sizes, which section is more likely to be landed on?

• The section with the number 1

• All sections are equally likely

• The largest section

• The smallest section

What is the theoretical probability of landing on a number 2 if the spinner section for 2 is one-fourth the size of the spinner?

• 1/3

• 1/4

• 1/2

• 1/5