Bullets are fired along the real line each second with independent uniformly random speeds from [0,1]. When two bullets collide they mutually annihilate. The still open bullet problem asks if the first bullet is never annihilated with positive probability. We establish a phase transition for survival of the first bullet in the variant where speeds are uniformly sampled from a discrete set. Joint work with Brittany Dygert, Christoph Kinzel, Annie Raymond, Erik Slivken, and Jennifer Zhu.
See more on this video at www.microsoft.com/en-us/research/video/bullet-problem-discrete-speeds/