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# Probability Simulations

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1. DIE ROLL A math class decided to test whether a die is fair, that is, whether the experimental probability equals the theoretical probability. The results for 100 rolls are shown below:

# on a die                          Number of rolls

1                                               6 times

2                                            15 times

3                                              4 times

4                                            13 times

5                                            15 times

6                                             47 times

a. What is the theoretical probability of rolling a 6?

b. What is the experimental probability of rolling a 6?

c. Is the die fair? Explain your reasoning

Jun 13, 2017

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a)  Theoretical probability  =  (1/6)100  = about 16 2/3 %  = about 16 times in 100

b) Experimental probability  = 47/100  = 47%

c) The die does not appear to be "fair"......we would expect a "6"  to occur far less frequently in 100 rolls....however.....although we should expect that each number would appear about 16 times in 100 rolls, this, in fact, will probably not happen.....   Jun 13, 2017