# Creating Probability Models Worksheets

There are many different things in the real world that we would like to understand and accurately predict. This can range from whether you will need an umbrella if you decide to journey outside or if you should be a lottery ticket. In order to make good decisions that are well thought out and analyzed probability models help us understand the situation that we may be surrounded with. These metrics allow us to understand which outcomes are more likely to occur. This can be used to make confident and better decisions in all walks of life. This series of worksheets and lessons will help students learn to model and represent random phenomenon and predict all possible outcomes of and event.

### Aligned Standard: Grade 7 Statistics - 7.SP.C.7

- 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.

- Answer Keys - These are for all the unlocked materials above.

### 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?

### 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. It indicates to us how likely it is that something will or will not happen. A probability model gives us a snapshot to understand the chance of something to occur.

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. In some cases, there is only a single possible outcome, in other cases there may be several different types of possible outcomes.

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. That is where 0 indicates it is impossible to occur. The value 1 indicates that it is certain to occur.

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.