Intro to Game Theory - Probability
Learning target: graph probability of rolling a given outcome with two dice
Supplies: 2 dice (each 1-6), pencil and paper (graph paper if possible)
Instructions for facilitator:
1. Roll the dice and look at the outcome. Sum the two numbers. How many ways are there
to arrive at that sum? For instance, there is a 1/36 chance of rolling a sum of 2 (1+1).
There is a 0/36 chance of a sum of 1.
2. For a sum of 7, the possibility is 1 and 6, 2 and 5, and 3 and 4, and the reverse of these
three possibilities. The probability of rolling a 7 is thus 3/36 + 3/36 = 6/36.
3. Graph sums for 2 through 12 to create a histogram as shown below.
Probability of Rolling Each Sum
Number of Possible Combinations
7
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
Desired Sum
Extensions:

What is the most common outcome?

What sums have the lowest probability of occurring?

Write each probability as a fraction and percent.
Submitted by: Allison Krug
9
10
11
12