Chevalier de Mere One

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					                                                                   Chevalier de Mere two




  Sum         Freq.           Simulation of Chevalier de Mere's second Game                                                                    48 Tosses of Tw
    2           1             Die 1 Die 2        Sum      Die 1 Die 2   Sum     Die 1 Die 2         Sum   Die 1 Die 2     Sum     20
    3           3               1     4           5         2     2      4        3     1            4      5     6        11
    4           4               1     1           2         6     4      10       2     6            8      4     3         7
    5           3               3     5           8         6     6      12       1     5            6      3     2         5
    6           8               4     2           6         5     2      7        2     4            6      1     2         3
    7           9               5     3           8         2     4      6        6     1            7      4     3         7
                                                                                                                                  10
    8           8               4     2           6         2     6      8        1     2            3      4     4         8
    9           4               3     4           7         4     5      9        4     4            8      2     1         3
   10           2               6     4           10        4     4      8        3     4            7      1     4         5                      4
   11           4               3     1           4         5     6      11       6     5            11     5     1         6                  3
   12           2               1     3           4         3     6      9        3     5            8      5     6        11              1
                                1     6           7         3     3      6        4     3            7      3     6         9      0
                                6     6           12        4     5      9        4     2            6      4     3         7              2       4
                                                                        win                                               lose
Created by: Hollylynne Stohl Drier                                        1                                                      0.50489
Center for Technology & Teacher Education                  2500
                                                                                                                          1
University of Virginia                                                                                                  0.9
                                                           2000                                                         0.8
Adapted by: David Harris
                                                                                                                        0.7
The International School of Toulouse                       1500                                                         0.6
  total    1137     from                2252     trials                                                                 0.5
  wins                                                     1000                                                         0.4
tech    theoretical probability=       0.50488                                                                          0.3
                                                            500                                                         0.2
help                                                                                                                    0.1
  read                                                                                                                    0
                                                              0
   me                                                                           wins   1
                                                                                           trials


Press F9 to roll the two dice 48 times. Each two adjacent grey areas represent twenty-four tosses of the die: one trial of Cheva




                                                                          Page 1
Chevalier de Mere two




       Page 2
Chevalier de Mere two




       Page 3
Chevalier de Mere two




       Page 4
Chevalier de Mere two




       Page 5
                                                                Chevalier de Mere two




       48 Tosses of Two Dice                         1   0.35
                                                     2    0.6
                                                     3    0.6
                                                     4    0.3
                                                     5   0.45
                                                     6    0.5
                                                     7   0.55
                          9
                      8       8                      8    0.6
                                                     9   0.45
          4                       4        4        10    0.6
                3                                   11   0.65
                                      2        2
                                                    12   0.45
                                                    13   0.55
          4           6       8       10       12   14   0.55
                      Sum                           15   0.55
                                                    16    0.5
                                                    17    0.5
                                                    18    0.7
                                                    19    0.6
                                                    20   0.55




              ratio
                1




e: one trial of Chevalier de Mere's second game.




                                                                       Page 6
Chevalier de Mere two




       Page 7
Simulation of Chevalier de Mere's first Game
                                                                         win
                    80 Tosses of a Die
                                                                         lose
                                                                          win
Face   Freq.   30                                                         win
               25
 1      15     20
                                                                         lose
 2      11                                              13
               15   15        11      19                        11       lose
 3      19     10                              11                         win
 4      11      5                                                         win
 5      13      0                                                        lose
                    1         2        3        4       5        6
 6      11                                                                win
                                                                          win
                        Wins from twenty trials of Chevalier de Mere's
                                         first game
                                                                         lose
                                                                          win
               20                                                        lose
               15                                                        lose
                                                                         lose
               10
                                                                         lose
                5                                                         win
                                                                         lose
                0
                                                                          win
                                                                          10



             Press F9 to roll the
  die 80 times. Each row represents four
tosses of the die ie. one trial of Chevalier de
                Mere's game.
            3             3                4                  6
            5             4                3                  5
            2             6                6                  2
            6             5                3                  4
            4           3          3                          1
            2           5          2                          5
            3           6          5                          1
            6           4          2                          5
            5           5          2                          2
            4           6          2                          3
            5           6          1                          3
            3           4          1                          1
            4           5          2                          6
            3           4          4                          3
            5           3          3                          1
            3           3          1                          2
            1           1          3                          1
            1           6          3                          4
            1           1          1                          5
            2           1          3                          6
        wins from 20 trials
           experimental probability =                         0.5

                  Created by:
                  Hollylynne Stohl Drier

s four            Center for Technology & Teacher Education

 alier de
                  University of Virginia
                  Adapted by: David Harris

				
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posted:12/11/2011
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