1. Can you write out all the numbers from 0 to 40, where each one is built from four 4's and nothing else but math symbols? Digits can be joined together (like 44), and you're allowed +, -, *, /, (), !, √, ^, and decimals. Two examples to show the idea: 4 + 4 - 4 - 4 gives 0, and 44/44 gives 1.

2. A stick of length 1 is broken at two points chosen independently and uniformly at random along its length. What is the probability that the three pieces form a triangle?