Dice Probability Activity = ; &n= bsp; Group Names_______________

= &nb= sp; = &nb= sp; = &nb= sp; = &nb= sp; _______________

&= nbsp; &nbs= p; &= nbsp; &nbs= p; &= nbsp; &nbs= p; &= nbsp; _______________

In the following activity you will determine the theor= etical probability of rolling different numbers with two dice. You will actually roll two dice and track the results. You will t= hen compare the empirical probabilities of your rolls with the theoretical probabilities you projected.

Step 1 Determine the numbers that you are capable of rolling with two dice. List the numbers below in the first column.

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Step 2 Determine the theoretical probabili= ty of rolling each number. The probabilities are not all equal. For instance, you are much more likely to roll a 7 than you are to r= oll a 12. After determining the probabilities, check you work by adding the probabilities. Remember, the sum of all possible non-overlapping probabilities is equal to 1.

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Step 3 Roll two dice a total of 100 times.= Record the number that is rolled e= ach time. From these 100 rolls, determine empirical probabilities for rolling each possible number.

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Do your theoretical probabilities and empirical probabilities match exactly? Why or why not?

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Possible &= nbsp; &nbs= p; Theoretical &= nbsp; Experime= ntal &= nbsp; Empirical

numbers that &nb= sp; Probabilit= y &= nbsp; ro= lls for each = ; Probab= ility

can be rolled &nbs= p; for each number &n= bsp; number &= nbsp; &nbs= p; for each number

__________ &= nbsp; __________ &= nbsp; __________ &= nbsp; __________

Record yo= ur 100 experimental rolls in the table below.

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