Probability: Showing all possible outcomes
Students are required to work systematically in order to show they have found all the possible outcomes of an event. This resource list contains a range of activities providing students with the opportunity to enumerate sets and combinations of sets systematically, displaying results in tabular form, grids and Venn diagrams.
Visit the secondary mathematics webpage to access all lists.
Probability
This resource contains games, investigations, worksheets and practical activities. The activity appropriate to this topic in pack one is Pizza or Pasta? in which all possible outcomes are shown on a tree diagram.
Probability pack two contains the activities What can I wear? in which choices are shown on a tree diagram, Routes in which all possible routes are listed, The three coin problem where all outcomes of spinning three coins are shown on a tree diagram, What chance? results of throwing two dice shown in a table and Monopoly: systematic listing of dice throws.
Which Spinners?
This activity is intended for students who are already familiar with sample space diagrams. The interactive file is ideal for students to compare the randomness of results when the experiment is repeated a few times with the more stable results obtained with a long run.
The problem requires students to work backwards from given graphs to predict which spinners were used to produce that outcome.
Probability - Two Events
This resource begins with a recap of basic probability for one event before requiring students to list all the outcomes with two events using a variety of tables and tree diagrams. Students are then asked to use the results to find probability using listings and using the multiplication law for independent events and conditional probability.
The activity file contains the activity Two Dice Experiment requiring students to list all outcomes when throwing two dice.
Using Probability Computer Games S3
In this resource students play a variety of dice games. In each case there is the opportunity for students to think about different methods of recording the results which leads to students having to list all the possible outcomes in order to analyse the games.
