## Predicting the Outcome of Events

#### Aligned To Common Core Standard:

**High School Statistics** - HSS-IC.B.6

Using Statistics to Predict the Outcome of an Event Statistics is not only used for collecting data but for using data for prediction. Here we will discuss different ways of how statistics can be used to predict an outcome of the event. Let's start with a basic example, i.e. of a coin toss. In the coin toss, the odds are 50/50. Which means that either it will be heads or tails. This is an easy example, and there are further examples where statistics are utilized to predict the outcome of any event. For instance, a student can say that the likelihood that the instructor will take an exam is about 90% (or 0.9) from a maximum of 100%. By these statistics, the likelihood is that the instructor will take an exam that is almost certain. However, if the student says that there is a 50% chance that the instructor will take an exam, then he has a 50/50 chance. Such that there is a chance that the instructor might not take the exam as well. These worksheets and lessons help students learn how to use statistics to predict the outcome of different events.

### Printable Worksheets And Lessons

- Richard's Spinner Step-by-step Lesson- How many possible outcomes are there when you use two spinners?
- Guided Lesson - Picking odd numbered tennis balls, flipping coins, hanging ornaments, and shopping for baby bottles.
- Guided Lesson Explanation - Only the second one requires a tree diagram, the others are two-steps.
- Practice Worksheet - I tried to think up as many possible random scenarios as possible.
- Matching Worksheet - Find the matching probability and problem.
- Probability Mutually Exclusive Events Five Worksheet Pack - These outcomes depend on being together.
- Probability Problems Involving AND & OR Five Worksheet Pack - Ten pages of work for you here.
- Probability the Complement of an Event Five Worksheet Pack - Students often have trouble with this particular skill. I would give them this over several days.

#### Homework Sheets

A review on the creation of tree diagrams might be in order for these sheets.

- Homework 1 - Make a tree diagram, then count the branches. The first event has 6 outcomes: 1, 2, 3, 4, 5, and 6. The second event has 2 outcomes: heads (H) and tails (T).
- Homework 2 - John has 7 cards. He picks one at random. What is the probability of picking an even card?
- Homework 3 - Make a tree diagram, and then count the branches.

#### Practice Worksheets

I tried to gravitate the questions towards the use of problems we have seen on exams. They aren't too creative.

- Practice 1 - Grace plays a game. She rolls a die and spins the spinner below. How many outcomes are possible?
- Practice 2 - Jack is in a shop. He wants to purchase balls. But there are different sizes available. The numbers indicate the size.
- Practice 3 - What is the probability of picking an even flower?

#### Math Skill Quizzes

The numbers of the items work as labels which actually covers 2 standards in 1 here.

- Quiz 1 - Fredric flips a 2 sided coin and chooses one chocolate. If there are 15 different chocolates then how many outcomes are possible?
- Quiz 2 - At a new year party, we play different games. One game asks us to pick a ball and then pick a chocolate inside the bag. There are 6 balls and 10 chocolate in each bag. How many choices are possible for the player?
- Quiz 3 - Cups with 6 different kinds of designs with 3 colors are in a closet. How many total outcomes are possible if you randomly reach in and grab a cup?