## Finding the Probability of Compound Events By Using Diagrams, Lists, and Tables

#### Aligned To Common Core Standard:

**Grade 7 Statistics** - 7.SP.C.8c

How to Generate Frequencies for Compound Events? Generating frequencies is an important aspect in the field of statistics. The concept of chances is essential to learn the probabilities of compound events. There are many methods to calculate frequencies for compound events. Simulation is probably the easiest and most effective method, followed by random number tables. You need to select a simulation method beforehand. Let us consider an example. If a baseball player makes five out of eight foul shots, then we can use a colored disk to simulate a foul shot. For instance, a blue-colored disk depicts a completed shot and a red disk could identify as a miss. Now, put five blue disks, three red disks and any other color in a container. Now mix them, and randomly select a disk to represent a foul shot. If the color of the disk you take out of the container is blue, then the batter hit the shot; if it's red, then he misses. If a different color comes out of the container, then itâ€™s a foul shot. A series of worksheets and lessons that teach students to use a variety of different methods to determine the probability of compound events.

### Printable Worksheets And Lessons

- Swimming Places Step-by-step
Lesson- Many the number of outcomes really gets up there when
you flip a coin and pick a card.

- Guided Lesson -
We add the chances of rolling a die while spinning a spinner. We
also rewrite a boys name.

- Guided Lesson Explanation
- We find our inner tree diagram Ying and yang to tackle these problems.

- Practice Worksheet -
It seems like I am reusing the same three scenarios over and over,
but only because these are the most common three questions we run
into.

- Matching Worksheet
- I like some of these problems. It got me thinking, does anyone
buy CDs anymore? I'm hooked on my iPhone.

- Tree Diagrams Five
Worksheet Pack - These are simple double or triple branch problems.

- Simple Tree Diagrams
Five Worksheet Pack - These problems can be confusing. I would
recommend outlining them first.

- Two-Stage Tree Diagrams Five Worksheet Pack - Everything is a double branch here.

#### Homework Sheets

I worked on mixing up the types of items that were chance.

- Homework 1 - Ava picks a card (of the 4 below) and flips a coin. How many outcomes are possible?
- Homework 2 - Anna picks a color ball and cards. How many outcomes are possible?
- Homework 3 - Grace plays a game. He rolls a die and spins the spinner below. How many outcomes are possible?

#### Practice Worksheets

Word to letter breakdowns are some of the most common questions we see today.

- Practice 1 - Alexander plays a game. He picks a letter from one bag and a Box from another bag. How many outcomes are possible? Draw a tree diagram.
- Practice 2 - Grace plays a game. He rolls a die and draws a card below. How many outcomes are possible?

#### Math Skill Quizzes

The quizzes are all in word problem form. We pull away from the pictures and ask students to visualize it for themselves.

- Quiz 1 - Lillian has a 6-sided die and 5 different balls. She wants to roll the die and take a ball. How many outcomes are possible?
- Quiz 2 - There are 4 paintings (A, B, C, D). The paintings are placed on the shelf. How many different arrangements of the paintings could be on the shelf?
- Quiz 3 - A man in a hotel ordered 2 different pastries and 2 drinks. Draw a tree diagram to represent the possible order in which he could eat them.