I am learning about Reinforcement learning in the book Grokking Deep Reinforcement Learning. Below are snippets. Below is the description of Bandit Slippery Walk (BSW)
Below is the description of two arm Bernoulli Bandit Environment
I am having difficulty in understanding the following paragraph
This is I i.e., Bernoulli Bandit Environment) similar to the BSW to an extent. BSW has complimentary probabilities: action 0 pays +1 with α probability, and action 1 pays +1 with 1–α chance. In this kind of bandit environment, these probabilities are independent; they can even be equal.
Why does it state that BSW has complimentary probabilities? If action 0 has $\alpha$ probability for +1 reward, why does action 1 pays +1 with $1- \alpha$, as action 1 is independent of action 0?