2025/06/17 by Janson, Svante
#60C05 #FOS: Mathematics #Probability (math.PR)
paper · doi:10.48550/arxiv.2506.14859
Consider a Pólya urn where a drawn ball of colour i is replaced together with a fixed number mi of balls of the same colour. We give a simple proof that if, for example, there are two colours and the urn starts with more balls of colour 1 than 2, and m1≥ m2, then there is a positive probability that there always will be more balls of colour 1 than colour 2.