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  01/08/19 17:19, by Isaac

I did two projects earlier this year that I did not previously count but I have decided too due to lack of time and lots to do in other classes as well.

Buffon’s Needle

For this project, I used matches instead of needles. I took a large piece of paper and drew parallel lines on it. The lines were two match lengths apart from each other. I then threw fifty matchsticks onto the piece of paper. I ended up with 19 match sticks on parallel lines, and 31 not on a line.
There were a few reasons this experiment was not perfect. There were creases in the paper that occasionally made the matches roll once they landed on the paper. There were a few times when I threw a match and it hit another match, causing it to move either off a line or onto a line. If this happened I tried my best to move the matches back to where they would have been. And probably most significant, I couldn't seem to “randomly” throw the matchsticks. The majority of them went to the middle and once I noticed this and tried to evenly distribute them, well then I was purposely throwing more to the outside of the paper so it DEFINITELY wasn’t random. According to my model, the probability of a match landing on one of the lines is 38%, which seems very low. It should be closer to 50% I think.
I spent about an hour on this project. I think the most important thing I learned is how hard it is to be truly random.

16 comments

Comment from: [Member]

Here is the graph for the first project. For some reason I couldn’t put in the post.

01/08/19 @ 17:22
Comment from: [Member]

Here is the Buffon’s Needle.

01/08/19 @ 17:26
Comment from: [Member]

10/10

01/08/19 @ 18:51
Comment from: [Member]

#1: 8/10

#2: 9/10

01/08/19 @ 19:45
Comment from: [Member]

9/10 for both.

01/09/19 @ 08:10
Comment from: [Member]

Please make a separate post for each project, thanks.

01/09/19 @ 09:17
Comment from: [Member]

10/10 x2

01/09/19 @ 10:04
Comment from: [Member]

Nice job on both of your projects.
Penny Project: 8/10
Buffon’s needle: 9/10

01/09/19 @ 17:09
Comment from: [Member]

#1: 9/10

#2: 10/10

01/09/19 @ 17:29
Comment from: [Member]

9/10

01/10/19 @ 18:11
Comment from: [Member]

10/10

01/10/19 @ 18:42
Comment from: [Member]

9/10 for all

01/14/19 @ 10:28
Comment from: [Member]
Cayleigh

9/10

01/17/19 @ 09:19
Comment from: [Member]

4/10 coin flip
8/10 Buffon’s

01/17/19 @ 21:46
Comment from: [Member]

I give them for #1 8/10 and
#2 9/10.

01/17/19 @ 22:39
Comment from: [Member]

1. 8/10
2. 9/10

01/17/19 @ 22:42


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