Printable Game Bag Token Probability Worksheet gives learners a diagram, one worked example and five questions. The student sheet leaves space to show work. A second printable page gives the steps for each answer.
Start with the model
The 9 individual tokens are equally likely on one random draw. Count the favorable pieces and divide by the total.
The set contains 4 circles, 3 triangles and 2 squares. Pieces are selected uniformly.
Worked example
There are 4 circles among 9 pieces. The chance of a circle is 4/9 = 4/9.
Ask the learner to point to the information used in the example. When they move on to the exercises, have them record the quantity, unit or label that each step represents.
Practice questions
- Find the probability of drawing a triangle.
- Find the probability of drawing a circle or square.
- What is the probability of a shape that is not a circle?
- A triangle is removed. What is the chance the next draw is a triangle?
- Return the triangle. How many squares must you add to make circles and squares equally likely?
Separate answer key
- 3/9 = 1/3.
- (4 + 2)/9 = 2/3.
- (3 + 2)/9 = 5/9.
- There are 2 triangles left out of 8 pieces, so the probability is 1/4.
- Add 2 squares. The chances are equal when the two counts match.
Download the student sheet and key
Each page has its own Download image and Download PDF controls. Choose US Letter or A4 for the PDF. Match the paper size in the print dialog and check the page edges before printing. The original PNGs are 2550 × 3300 pixels at 300 dpi. The pages are free for personal and classroom use.