The Problem Regarding (Re)placement of a King: An Intuition Pump Approach

In many school-based probability calculations, replacement of items that have been drawn in an event that is part of an outcome returns the sample space for the next event to the status quo. Consequently, replacement of the items has no impact on the probability of the upcoming event. The two events are independent. Intuitively, it is likewise reasoned that if a selected item for a first event is not replaced into the sample space, there will be a resulting change in the probability of the next event compared to when the items were replaced. The intuition pump in this article explores the validity of this intuitive assumption.