Triangle in a Square
Three points are chosen independently and uniformly at random in the unit square. What is the expected area of the triangle they form? Give a reduced fraction.
Related problems & prerequisites
Worth solving first
- A High Median 4.0/10
- One Point per Side 3.0/10
- Ten Letters, Ten Envelopes 3.0/10
Source: Classic geometric-probability exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.