HMMT 2012 U16

Guts
Answer

Let $A, B, C$ , and $D$ be points randomly selected independently and uniformly within the unit square. What is the probability that the six lines $\overline{A B}, \overline{A C}, \overline{A D}, \overline{B C}, \overline{B D}$ , and $\overline{C D}$ all have positive slope?

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{1}{24}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Solutions

Similar problems