Count the Outcomes in the Sample Space
Written by Adi Ackerman, Head Teacher
"Count the Outcomes in the Sample Space" is written for 6th Grade (Ages 11-12). If your student is a year younger but already steady on probability, the page still works. You may just need to read the instructions out loud. And if they are older and sample spaces and counting never quite stuck, this is a short review rather than busywork.
6th grade math worksheet: count the outcomes in a sample space and in an event, from vowels in the alphabet to months with 31 days. Answer key included. Part of our sample spaces and counting probability collection.
How do I use this worksheet?
Begin with List the Sample Space and Count the Outcomes in the Sample Space before moving to Count the Choices. Tree Diagrams to Count Outcomes links the two ideas, and Counting Principle Riddle checks answers with a hidden message.
What students will practice
- Students will count the outcomes in the sample space of an experiment.
- Students will count how many of those outcomes are in a given event.
- Students will work with number cubes, cards, spinners, letters, months and days.
Curriculum Links
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FAQ
How do I use this sample spaces and counting worksheet?
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Begin with List the Sample Space and Count the Outcomes in the Sample Space before moving to Count the Choices. Tree Diagrams to Count Outcomes links the two ideas, and Counting Principle Riddle checks answers with a hidden message.
What does this worksheet teach?
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Count the outcomes in a sample space and in an event, from vowels in the alphabet to months with 31 days. The directions on the page read: For each experiment, count the outcomes in the sample space. Then count how many of those outcomes are in the event. Every outcome is equally likely. The page opens with a worked example, and an answer key is included.
Can I use this sample spaces and counting worksheet for homeschool or classroom?
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Yes, both. We made it for 6th Grade probability, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with sample spaces and counting. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.
How do you write a sample space?
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List each different outcome once inside braces, with commas between outcomes. A letter card from the word NOON has the sample space N and O.
What is the counting principle?
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If one choice has m options and a second has n options, there are m times n possible outcomes. Leah's 7 hats and 4 scarves make 7 x 4 = 28 outfits.
How does a tree diagram help you count outcomes?
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Each branch shows one choice, and each path from start to end is one outcome. Count the paths, then check by multiplying the number of choices at each step.
Do these worksheets have answer keys?
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Yes. All 10 worksheets in this group have answer keys.
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Worksheet Details
| Grade | 6th Grade |
| Subject | Math |
| Topic | Probability |
| Pages | 1 page |
| Difficulty | Medium |
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