I am learning about discrete probability distributions and found 2 definitions for Geometric Distributions from wikipedia: 1. The probability distribution of the number X of Bernoulli trials needed to get one success, supported on the set { 1, 2, 3, ...} 2. The probability distribution of the number Y = X − 1 of failures before the first success, supported on the set { 0, 1, 2, 3, ... }
It seems like a subtle difference, but i'm having trouble wrapping my head around when i would use which? Any insights appreciated.