Page 191 - Probability Demystified
P. 191

180                                            CHAPTER 10        Simulation

                                 SOLUTION:

                                 A die can be rolled until a certain arbitrary number, say 3, appears. Since the
                                                                 1
                                 probability of getting a winner is , the number of rolls will be tallied. The
                                                                 5
                                 experiment can be done 20 times. (In general, the more times the experiment
                                 is performed, the better the approximation will be.) In this case, if a six is
                                 rolled, it is not counted. The results are shown next.

                                                          Trial  Number of rolls until
                                                                a 3 was obtained
                                                          1            1
                                                          2            6

                                                          3            5
                                                          4            4

                                                          5            11
                                                          6            5

                                                          7            1
                                                          8            3

                                                          9            7
                                                          10           2
                                                          11           4

                                                          12           2
                                                          13           4

                                                          14           1
                                                          15           6
                                                          16           9

                                                          17           1
                                                          18           5

                                                          19           7
                                                          20           11

                                   Now, the average of the number of rolls is 4.75.
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