The purpose of this activity is to engage students in finding an expected number that is based on equally likely outcomes.
In readiness for this problem, the students should have familiarity with each of the following components of mathematics. The problem may be solved with different combinations of these components.
- basic addition facts
- probability - equally likely outcomes
- expressing probabilities - unlikely, likely, etc
- carrying out a probability experiment
- finding an expected value
This activity may be carried out with 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.
The procedural approach (show more)
- The student is able to carry out an experiment to find an expected value, with guidance, in a situation involving equally likely outcomes.
Prompts from the teacher could be:
- What materials will you need to model this situation?
- Try ‘rolling the dice’ for twenty rolls.
- How many times did you get doubles in this experiment.
- How many rolls is it likely to take to get one set of doubles?
The conceptual approach (show more)
- The student is able to find an expected value in a situation involving equally likely outcomes.