Uffon’s Needle Problem: An Exciting Application of Many Mathematical Concepts

While teaching integral calculus, I have often looked for interesting applications of the calculus that are relatively easy for the students to master but yet not trite. One such problem is known as ‘Buffon’s Needle Problem.” A consideration of this problem involves the solution of a simple definite integral and requires a basic introduction to probability theory. Let’s consider the “Needle Problem.”