normalized by it you every new believe for X after that observation has come in if it's not an observation that came in but you took an action well then you use law of total probability then a much smaller gets multiplied in you get the next state and so you can run they don't if you alternate between Z and you you can just have a bunch of Z's coming in incorporate them then take up some actions incorporate that and just repeat over time whenever something come in act upon what happened so in summary Bayes rule allows us to