The purpose of this activity is to engage the students in finding an experimental probability and using this to model the outcome of a given scenario.

The background knowledge and skills that should be established before and/or during this activity are outlined in the diagram below:

Click to show example questions for each heading

This activity may be carried out with step by step guidance, or by allowing the student to follow their own method of solution. The approach should be chosen in sympathy with students’ skills and depth of understanding.

As part of a study on nutrition, a teacher asked her class to record everything they ate on a particular day. When they submitted the information anonymously, the class then looked through the data to find how many servings of fruit and/or vegetables each student in the class had consumed that day. The results were:

What is the chance, if any two students in the class are picked at random, that they both ate their 5+ servings of fruit and/or vegetables that day?

### The procedural approach (show more)

- The student is able to follow the steps given, to find a probability and use it to model a given problem.

### The conceptual approach (show more)

- The student is able to find a probability and use it to model a given problem.