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.