Count Distinct Ordered Roles
Choosing people for different roles makes order matter.
About 25 minutes, plus any extended practice
Open lesson 1Statistics: Counting and Random-Variable Models
Counting methods distinguish ordered roles from unordered groups. A probability model assigns chances to possible outcomes, and expected value or binomial counting combines those probabilities while preserving what a single trial can actually produce.
Before you begin
- Multiply probabilities of independent events; add fractions; distinguish ordered assignments from sets.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Remove Reversed Duplicate Committee Selections
An unordered two-person committee does not distinguish first and second selection.
About 25 minutes, plus any extended practice
Open lesson 2Weight Every Outcome by Its Probability
Expected value is a probability-weighted average of modeled outcomes.
About 25 minutes, plus any extended practice
Open lesson 3Count All Sequences with an Exact Success Count
Repeated independent two-outcome trials create ordered sequences.
About 25 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- California CCSS mathematics topic reference: topic reference — Statistics: Counting and Random-Variable Models
These references informed the topic selection. They do not certify complete standards alignment.