Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
Annotations supply the safety profile (destructiveHint=false, openWorldHint=true), and the description adds genuine extra context: the method is Monte Carlo and luck is defined as the best of N random tries. It also warns that a threshold crossing is neither admission nor forecast, which is useful interpretive guidance. It says nothing about why readOnlyHint is false for what reads as a pure computation, leaving an unexplained annotation/label mismatch.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.