## Creating Probability Models

#### Aligned To Common Core Standard:

**Grade 7 Statistics** - 7.SP.C.7

What are probability models? When you enter the mathematical world, you will find mathematics filled with concepts and mathematical models. A very well-known model in mathematics that a lot of you may find difficult is the probability model. This model is precisely a mathematical illustration of a random phenomenon. Defined by its sample size, it has different events occurring in its sample space with probabilities associated with each event. The set of sample space S denotes all the possible outcomes for a probability model. Consider this example: In a bowl of five marbles, that has one red, one blue, one yellow, one green, and one lavender. If you are required to pick a random marble out of the bowl, the possible outcomes would be S = {red, blue, yellow, green, lavender}. If 3 are red and 2 are blue then the sample space S would be {red, blue}. Since only two possible color outcomes are possible, the probability would be 50% in this case. There are two basic rules of probability. Rule 1: The probability P(A) is any number between 0 and 1. Rule 2: The probability is equal to 1; [P(S) = 1] This series of worksheets and lessons will help students learn to model and represent random phenomenon and predict all possible outcomes of and event.

### Printable Worksheets And Lessons

- Circle In The Square
Step-by-step Lesson- Hollywood Squares gone terribly wrong.
Fit a circle into a square and figure out how much space is left
in the square.

- Guided Lesson
- Timmy is flipping a coin. Rinker is scoring goals on the ice.
You decide to spin a four sided spinner. What's the chances?

- Guided Lesson Explanation
- These truly are easier than they look at first. It's good for
kids to have some success with them.

- Practice Worksheet
- Don't let the extra words slow you down. Make sure to forge through
the problems just fine.

- Matching Worksheet
- Match the detailed stories to the probabilities that result form
them.

- Calculate Probability
as a Decimal Worksheet Pack - This is writing in short hand
for students that have been working with these types of problems
consistently.

- Probability as a Fraction
Five Worksheet Pack - Again, written in short hand and the focus
is leaving the value as a fraction.

- Calculate Probability
as a Percentage Five Worksheet Pack - The heading should state
that we are looking for the answer in a percent value.

- Probability Word Problems Five Worksheet Pack - These are all in long form and will take some picking apart.

#### Homework Sheets

Oddly enough the more difficult problems are found on page 1. The other pages are more common.

- Homework 1 - On the last day of a Shakespeare class, an English teacher asked her students which play they liked the most. Out of the 20 students, 4 liked Julius Caesar best.
- Homework 2 - What is the probability of getting brown? Write your answer as a percentage?
- Homework 3 - There are 10 pieces of fruit in a basket, including 3 oranges. What is the probability that a randomly selected piece of fruit will be an orange?

#### Practice Worksheets

This is the first time that students are looking at probabilities.

- Practice 1 - Terence organizes a small party. There are 50 glasses of fruit juice at the party, 15 of which contain apple juice. What is the probability that a randomly selected drink will be apple juice?
- Practice 2 - Lee has a fruit basket. The baskets contain 8 pomegranates and 10 oranges. Without looking, if Lee chooses a fruit from the basket, what is the probability that it will be an orange?
- Practice 3 - Eva has a box that contains stones. There are 60 stones in the box. 20 of the stones are red. What is the probability that a randomly selected stone will be red?

#### Math Skill Quizzes

I used notation for find probabilities in here, just in case it appears on a standardized test.

- Quiz 1 - A bag contains 13 purple and 16 blue marbles. A marble is drawn at random. Probability (purple).
- Quiz 2 - Jerry is watching animals at the zoo. He sees 5 bears out of a total of 20 animals. What is the probability that the next animal Jerry sees will be a bear?
- Quiz 3 - Anna has a school bag. She has 8 books, of which 3 are math books. What is the probability that a randomly selected book will be a math book?