Department of Mathematics Education

EMAT 6700, J. Wilson

 

 

Games that use Dice

J. Matt Tumlin

 

 

You will examine the possible outcomes that occur from throwing a single die and a pair of dice.Many board games, such as Monopoly, use dice to advance players around the playing board.On any throw, each face on a die is equally likely to come up.Since only one face can come up at a time, the results are mutually exclusive.

 

When you throw two dice, the sum of the dots on the faces can be anything from 2 through 12.These sums are not equally likely.Even though there is only one way to throw a 2 (1+1), there are six ways to throw a 7 (1+6, 2+5, 3+4, 4+3, 5+2, and 6+1).Thus, the events throwing a 2 and throwing a 7 are not equally likely.

 

 

 

 

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Directions

 

The materials required for this lab are dice and calculator.You can have up to six members per group.Have each member of the group throw a single die 12 times and pair of dice 12 times and they must record the results.For a single-die throw, record the dots on the face that come up.For a two-die throw, record the sum of the dots on the two faces that come up.For example, if you throw a 5 and a 3, record an 8.Make a table similar to that shown below for the data you collect.The single-die throw should list the face showing and the corresponding frequency for the 12 throws.The two-dice throw should list the sum of the two faces and the corresponding frequency also for 12 throws.

 

Single-die Throw

Two-dice Throw

Face Showing

CorrespondingFrequency

Sum of Faces

Corresponding Frequency

1

2

2

0

2

3

3

0

3

1

4

3

4

2

5

2

5

2

6

1

6

2

7

2

 

 

8

1

 

 

9

1

 

 

10

1

 

 

11

1

 

 

12

0

 

Draw histograms for both the single-die and two-dice data.Make a table similar to the one above for your entire groupís data.Draw histograms of the single-die data for the group and two-dice data for the group.Make a data table for the entire class.Draw separate histograms of the single-die data and the two-dice data for the class.Are there similarities in the three histograms for the single-die data?Are there similarities in the three histograms for the two-dice data?How are the histograms of single-die data different from the histograms of the two-dice data?

 

 

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