Jack and Bill are randomly picking students to play kick-ball on the…

Jack and Bill are randomly picking students to play kick-ball on the playground, one at a time (without return), from a group of ten students. Only five of the students among the twenty students are athletic. Jack picks first, then Bill, and so on.... What is the probability that Jack will get all of the athletes? (Answer in lowest terms).

AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #24422