The table below gives 104 repititions of Buffon's needle experiment, with the needle length and floorboard length equal. The common length was about 6.5 cm; a toothpick actually served as the needle. The data should also represent 104 Bernoulli trials. The number of successes is 56.
Trial | Outcome |
---|---|
1 | 1 |
2 | 1 |
3 | 1 |
4 | 0 |
5 | 1 |
6 | 1 |
7 | 0 |
8 | 0 |
9 | 1 |
10 | 0 |
11 | 0 |
12 | 1 |
13 | 1 |
14 | 0 |
15 | 0 |
16 | 0 |
17 | 0 |
18 | 1 |
19 | 0 |
20 | 0 |
21 | 1 |
22 | 1 |
23 | 1 |
24 | 1 |
25 | 1 |
26 | 1 |
27 | 0 |
28 | 0 |
29 | 1 |
30 | 1 |
31 | 1 |
32 | 1 |
33 | 1 |
34 | 1 |
35 | 1 |
36 | 0 |
37 | 0 |
38 | 0 |
39 | 1 |
40 | 1 |
41 | 1 |
42 | 1 |
43 | 0 |
44 | 0 |
45 | 0 |
46 | 1 |
47 | 1 |
48 | 1 |
49 | 0 |
50 | 1 |
51 | 1 |
52 | 1 |
53 | 0 |
54 | 0 |
55 | 1 |
56 | 0 |
57 | 1 |
58 | 0 |
59 | 0 |
60 | 0 |
61 | 1 |
62 | 0 |
63 | 0 |
64 | 1 |
65 | 1 |
66 | 1 |
67 | 0 |
68 | 0 |
69 | 1 |
70 | 1 |
71 | 1 |
72 | 0 |
73 | 0 |
74 | 0 |
75 | 1 |
76 | 1 |
77 | 1 |
78 | 1 |
79 | 0 |
80 | 0 |
81 | 0 |
82 | 1 |
83 | 0 |
84 | 0 |
85 | 0 |
86 | 0 |
87 | 0 |
88 | 1 |
89 | 1 |
90 | 1 |
91 | 0 |
92 | 0 |
93 | 0 |
94 | 1 |
95 | 0 |
96 | 1 |
97 | 0 |
98 | 1 |
99 | 1 |
100 | 0 |
101 | 1 |
102 | 1 |
103 | 1 |
104 | 0 |
Total Crosses | 56 |
Since different students took turns tossing the toothpick, and since some of the students were purposely trying to achieve a particular outcome (a crack crossing), the question of interest is whether the data do represent Bernoulli trials.
Sonja Mushahid and the UAH Math Club, Pi Day Celebration, 13 March 2009.