Prompt: You are rolling the dice 99 times and finding the sum on the dice each time. Make a graph showing your prediction of the results.
I’m not sure why every year I think that most of the students will know ahead of time that 6, 7, and 8 come up most often. Of course, the activity is more fun given that they don’t have a clue what’s going to happen.
I ask the kids if there are any other strategies for their predictions other than the ones we have discussed. One student added that maybe 2 would show up least often and 12 the most, increasing in between. Discussion ensued.
It’s fascinating to me to actually see the students discover what happens and why. I used to have them use the probability simulator on the TI-83/84 but I just don’t trust TI to do anything random anymore. Plus, there’s something more “real” about actually rolling the dice.
A question that blew me over today: If we roll two dice over and over, which will happen first – a. rolling a sum of 7, sixteen times, or b. rolling 100 times altogether?
I’m wondering , in a class of 30, what the aggregate results will be on this mystery question.