![pr.probability - If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? - MathOverflow pr.probability - If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? - MathOverflow](https://i.stack.imgur.com/9MqM2.png)
pr.probability - If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? - MathOverflow
![SOLVED: Problem 7: Probability and Geometry A stick of length 1 is broken into two pieces of length Y and 1 - Y respectively, where Y is uniformly distributed on [0, 1]. SOLVED: Problem 7: Probability and Geometry A stick of length 1 is broken into two pieces of length Y and 1 - Y respectively, where Y is uniformly distributed on [0, 1].](https://cdn.numerade.com/ask_images/848687e836514df4ad66a6df06fa976f.jpg)
SOLVED: Problem 7: Probability and Geometry A stick of length 1 is broken into two pieces of length Y and 1 - Y respectively, where Y is uniformly distributed on [0, 1].
![Classic Probability Problem #1: Broken Sticks, Triangles, and Probability | by Andrew Rothman | Towards Data Science Classic Probability Problem #1: Broken Sticks, Triangles, and Probability | by Andrew Rothman | Towards Data Science](https://miro.medium.com/v2/resize:fit:389/1*XfChZzvYgNLho5fDgCmBNw.png)
Classic Probability Problem #1: Broken Sticks, Triangles, and Probability | by Andrew Rothman | Towards Data Science
![SOLVED: Problem 4. (5 points each:) A stick of unit length is broken at random into two pieces: Define X as the ratio of the length of the shorter piece to that SOLVED: Problem 4. (5 points each:) A stick of unit length is broken at random into two pieces: Define X as the ratio of the length of the shorter piece to that](https://cdn.numerade.com/ask_images/25407c7163c94b4e93a881c140670afb.jpg)
SOLVED: Problem 4. (5 points each:) A stick of unit length is broken at random into two pieces: Define X as the ratio of the length of the shorter piece to that
![pr.probability - If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? - MathOverflow pr.probability - If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? - MathOverflow](https://math.mit.edu/~shor/MO/triangle.jpg)
pr.probability - If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? - MathOverflow
![Classic Probability Problem #1: Broken Sticks, Triangles, and Probability | by Andrew Rothman | Towards Data Science Classic Probability Problem #1: Broken Sticks, Triangles, and Probability | by Andrew Rothman | Towards Data Science](https://miro.medium.com/v2/resize:fit:580/1*JhVWc8Yq4reG0qC-aAX_6A.png)