Two people picking the same triangle from 8 points

Eight points are given, with no three collinear. Matt and Aaron each independently choose $3$ of the points uniformly at random and draw the triangle they form. What is the probability that they draw the same triangle?

$\tfrac{1}{56}$. There are $\binom83=56$ equally likely triangles. Whatever Aaron picks, Matt matches it with probability $\tfrac1{56}$.