Shake, Rattle, and Roll  A Bean Game
Suggested Grades
47
Objective
Students (organized in partners) will analyse a game through probability to decide whether it is a fair game or not.
Materials
 clean empty juice boxes
 scissors
 12 dried beans per student pair
 marker
Method

Use the marker to label the beans to match this picture. Click to view, press the 'back' button on your browser to return to this page.
 Cut a hole in the top of the juice box small enough so that only one bean can go through it at a time.
 bean graph Click for a printable bean graph, press 'back' in your browser to return to this page. Or, ask each student pair to draw a bean graph like the example provided.
 Put 12 beans in the box. Shake the box until two beans come out. Add the numbers oon the beans together. Mark an X on the graph above the total of the two beans
 Put the two beans back in the box. Shake two more out, and mark their total on the graph. Repeat this until you have 10 X's on the graph. Take a look at the graph. Is there a pattern in the numbers? Do any of them appear more than once?
 Now shake out and total beans until you have 20 X's on the graph. What does the graph look like now?
 Shake and total beans until you have 30 X's on the graph. Then compare the graph with others' in the class.
 Ask students to respond to these questions:
 Do the graphs look alike or different?
 Which numbers seem to appear most often?
 Which numbers seem to appear least often?
 Why might this be so?
 What might the graphs look like with 50 X's? Try it.
 Do you think the bean game is fair or unfair? Why do you think so?