Buffon Trial Data

Toothpicks
Toothpicks

Description

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.

Data

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

Discussion

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.

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Source

Sonja Mushahid and the UAH Math Club, Pi Day Celebration, 13 March 2009.