Lucky Sausages

Purpose

The purpose of this activity is for students to set up and run a simple probability simulation and to compare their experimental value of probability with the theoretical value.

Achievement Objectives
S4-3: Investigate situations that involve elements of chance by comparing experimental distributions with expectations from models of the possible outcomes, acknowledging variation and independence.
Description of Mathematics

The background knowledge and skills that need to 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.

Activity

A group of parents running a fundraising sausage sizzle are struggling to keep up with demand, so have got the BBQ turned up to the hottest setting.

As a result, one third of the sausages are burnt, a quarter are sold before they are cooked properly, but the rest are fine.

Use coloured counters to model this situation, to find the percentage probability, that the next customer is lucky enough to get a properly cooked sausage.

Comment on the results of your experiment.