distribution we really want which is distribution over state any questions about this these two equations are essentially the ones we'll just use everywhere and what we'll do today next lecture lecture after that if you fully understand those you should be in really good shape now we can have a new version of this so law of total probability again but with conditioning what does that mean for both of these imagine for the first one here imagine we had already something to conditioned on maybe there was a measurement in the past that was