Credited with solving this puzzle:
This month’s challenge is from Michael Kleber, based on a problem invented by David Wilson.
Every second, a gun shoots a bullet in the same direction at a random constant speed between 0 and 1.
The speeds of the bullets are independent uniform random variables. Each bullet keeps the exact same speed and when two bullets collide, they are both annihilated.
After shooting 20 bullets, what is the probability that eventually all the bullets will be annihilated?
Please supply the answer rounded to the 10th decimal digit.
