You are Here: Home >< Maths

# Buffon's Needle Problem, with squares watch

1. Hi Guys,
I was having a bit of difficultly in engaging with a problem pertaining to Buffon's Needle. Essentially, the question is to find the ratio of needles crossing a line when the needles are thrown randomly, exactly the same as in the classic Buffon's Needle experiment. However, the change is that the floor is composed of square tiles, instead of slats. What would the ratio of the number of needles thrown to the number of needles crossing a line be?
Any help would be much appreciated!
2. Can the length of the needle be larger than the side-length of the square? Which solution(s) to Buffon's Needle Problem are you familiar with?
3. As a little hint: Under what circumstances will the needle cross a line? How can you parametrise the position of the needle in such a way that it is easy to calculate whether the needle lies across a line? (As a check, if you're working with the solutions for a needle longer than a side-length, if the length of the needle is x and the side length L, then if the probability is 1, because the "worst possible" way it can land is diagonally across a square.)

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 11, 2013
Today on TSR

### Struggling to get going with your revision?

Get going with the all day revision thread

### Uni strikes! How do they affect you?

Discussions on TSR

• Latest
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE