Probability Test

Probability Review

Less than 0.5
Less than 50%

Greater than 0.5
Greater than 50%

0%
50%
100%

Reorder

Lauren spins the spinner with 8-equal sized sections one time. Drag the tiles to arrange the events in order from least likely to most likely.

• spinning a 4 or 5

• spinning a 6

• spinning an even number

• spinning a number greater than 5

1

2

3

4

• 1
• 2
• 3
• 4

Multiple Choice

Which of the following best describes the likelihood of the spinner landing on a number less than 6?

• impossible

• unlikely

• equally likely

• likely

• certain

​Probability - the likelihood that something will occur.

Math 7 | Probability

Experimental Probability:

Definition: Experimental Probability is the ratio of number of times an event actual occurs to the number of times the event was carried out. (Also known as the relative frequency.)

Ex: If you flip a coin 50 times and it lands on heads 30 times your experimental probability of a coin landing on heads would be 30 out of 50.​

Subject | Subject

Some text here about the topic of discussion

Try it out!

Multiple Choice

P(not A) = 
*Remember to simplify.*

• 6/8
• 3/4
• 2/8
• 1/4

Multiple Choice

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?

• 3/10
• 3/9
• 1/9
• 1/3

Multiple Choice

The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section of the spinner.P(white)=

• 1/8
• 5/8
• 7/8
• 3/7

Sample Spaces, Tree Diagrams & The Counting Principle

What is a sample space?

• The collection of ALL possible outcomes in an "experiment" or "event"

• Is used to find the probability of an event occuring.

Multiple Choice

How many outcomes are there for flipping a coin?

• 1

• 2

Multiple Choice

How many outcomes are there for flipping 2 coins?

• 1

• 2

• 3

• 4

How many outcomes for this spinner?

Tree Diagram

• Can be used to show a sample space

• Each "branch" of the diagram represents one possible outcome

The Counting Principle

• easier way to find a sample space

• helpful for a large number of outcomes

• multiply the number of possible outcomes for EACH "event"

You have 4 different pairs of socks and 6 different pairs of sneakers. How many different combinations of socks and shoes do you have?

• 4 socks

• 6 sneakers

• 4x6=24 combinations

Multiple Choice

What is the probability of rolling a 3 and spinning a red?

• 1/6

• 1/4

• 1/10

• 1/24

Multiple Choice

The tree diagram shows the outcomes of rolling a die and flipping a coin.  
What is the probability of rolling an even number and flipping a head?

• ³/₁₂

• ¹/₂

• ⁴/₁₂

• ⁰/₁₂

Multiple Choice

What is the probability of making both shots?

• 1/4

• 2/4

• 3/4

• 4/4

Using Simulations

Trivia: Simulations are a powerful tool for estimating probabilities. They allow us to create virtual scenarios and observe outcomes to make predictions. Simulations are widely used in fields like finance, weather forecasting, and gaming. By using simulations, we can gain valuable insights and make informed decisions based on estimated probabilities.

Multiple Choice

What is the purpose of conducting multiple trials in experimental probability?

• To increase accuracy

• To analyze data

• To make predictions

• To understand theoretical probability

Multiple Choice

Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?

• roll a die and flip a coin
• roll a die two times
• flip a coin 6 times
• flip a coin 2 times

Multiple Choice

 A teacher wants to randomly choose 4 students to answer a series of questions. If there are 20 students in the classroom, describe a model that the teacher could use to simulate choosing these 4 students. 

• rolling a number cube 20 times
• spinning a spinner with 20 sections 4 times
• flipping a coin 20 times
• rolling a number cube and flipping a coin 20 times

Multiple Choice

A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?

• spin a spinner with 4 equal sections
• roll a die twice
• flip a coin twice
• flip a coin, then roll a die

Multiple Choice

Which is the best way to represent answering 25 multiple-choice questions with 4 choices for each answer?

• spin a spinner with four sections 25 times
• roll a die 25 times
• flip a coin 25 times
• roll a die 4 times

Multiple Choice

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times
• rolling a six-sided number cube 20 times
• spinning a spinner with 4 equal sized sections 4 times
• choosing 1 marble in a bag of 20 different colored marbles