How many warm-up pitches is a substitute pitcher allowed to take when replacing a pitcher?

A substitute pitcher is allowed to take eight warm-up pitches when replacing a pitcher. This rule is designed to provide the incoming pitcher adequate time to adjust and get comfortable before facing a live batter, ensuring they are properly warmed up to execute their pitches effectively. The eight-pitch allowance helps maintain the flow of the game while ensuring player safety and performance readiness.

The other quantities for warm-up pitches are not permitted, as they exceed the standard allowance set by governing bodies for baseball games, which aims to balance the need for preparation without causing unnecessary delays in the game.