A French mathematician called Georges-Louis Leclerc, Comte de Buffon (1707-1788) started thinking about this and worked out the probability.

This probability is called “Buffon’s Needle” in his honor.

Buffon then used the results from his experiment with a needle to estimate the value of π (Pi). He worked out this formula:

π ≈ 2LN / CW

Where

- L is the length of the needle
- N is the total number of needles
- C is the total number of needles crossing a line
- W is the line spacing (Width of the wooden boards on the floor)

We have decided to simulate this experiment using a Python script (using Python Turtle).

#### Task 1

Run the above script and count how many needles (out of 50) are crossing a line. Apply Buffon’s formula to estimate the value of Pi using:

**π ≈ 2LN / CW**

- L is the length of the needle (L = 30 pixels
- N is the total number of needles (N = 50 needles)
- C is the
**total number of needles crossing a line** - W is the line spacing (Width of the wooden boards on the floor W = 40 pixels)

#### Task 2

Adapt this Python script to automatically detect if a needle is crossing a line.

Your Python script should then count how many needles are crossing a line and use this to estimate a value of Pi.

#### Solution...

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