How we can estimate π… by dropping needles onto a piece of paper?
<p>Suppose we have a lined piece of paper, with lines being d mm from each other. Suppose we also have a needle of length t mm. Given that the needle is shorter than the line spacing, what is the probability that a needle lands on a line when dropped randomly?</p>
<p>The answer may come as a surprise, but the probability is actually 2t/(dπ)<br />
Now where does this come from? And how exactly can we use this method of throwing needles onto a piece of paper to estimate π?</p>
<p>First, we start off with showing how this probability is obtained. If this is not something the reader is interested in, they may skip ahead to the method of estimating π.</p>
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