Page 192 - Probability Demystified
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CHAPTER 10         Simulation                                               181

                     EXAMPLE: A box contains 3 one dollar bills, 2 five dollar bills, and 1 ten
                     dollar bill. A person selects a bill at random. Find the expected value of the
                     bill. Perform the experiment 20 times.

                     SOLUTION:
                     A die can be rolled. If a 1, 2, or 3 comes up, assume the person wins $1. If a
                     4 or 5 comes up, assume the person wins $5. If a 6 comes up, assume the
                     person wins $10.

                                               Trial  Number  Amount

                                               1       3        $1
                                               2       6       $10
                                               3       3        $1
                                               4       6       $10

                                               5       4        $5
                                               6       1        $1
                                               7       6       $10
                                               8       4        $5
                                               9       4        $5
                                               10      3        $1

                                               11      6       $10
                                               12      1        $1
                                               13      2        $1
                                               14      5        $5
                                               15      5        $5

                                               16      3        $1
                                               17      1        $1
                                               18      2        $1
                                               19      6       $10
                                               20      3        $1


                          The average of the amount won is $4.25.
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