Counting Principle Riddle

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.

Count outcomes for 12 problems like two number cubes, then match answers to letters to solve a riddle. The directions on the page read: Find each number of outcomes and write it in the first box. Find your answer in the bank and write its letter in the second box. Then copy the letters 1 to 12 to answer the riddle. The page opens with a worked example, and an answer key is included.

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.

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.

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.

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.

Yes. All 10 worksheets in this group have answer keys.