Probability Experiment with 2 Number Cubes

posted May 9, 2016, 3:32 PM by Patrick Johnson
Students conducted a probability experiment by playing a game. Students placed their marker on a number from 1 to 12. If they rolled that sum using 2 number cubes, they moved their marker up the game board. Students quickly developed their own strategies for placing their marker. They realized that it was impossible to get the sum of 1 using 2 number cubes so they did not place their marker there (some students even crossed the number out on the game board). Students also realized it was unlikely they would roll a 12 since there was only 1 way to make that sum using 2 number cubes. Most students placed their markers on the middle numbers since those sums could be made in a variety of way (6 could be made by rolling a 3 and 3, 4 and 2, 5 and 1). 

After students played the game, we discussed their strategies and the probability of each sum occurring. To further demonstrate this, we used a probability website to simulate rolling 2 number cubes 132 times. It generated the tally chart below which validated students observations from the game.