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in this video I want to talk about the concept of mutual information and mutual information is an information theoretic concept that concerns the outcome of two random variables and in this video Im going to talk about how we can think about the mutual information as measuring the reduction in uncertainty for predicting parts of the outcome of a system after we observe the outcome of the other parts of the system so if we know the value of one of the random variables in a system there is a corresponding reduction in uncertainty for predicting the other one and mutual information measures that reduction in uncertainty and implicit to this reasoning is the fact that we know that the entropy is an ideal measure of uncertainty in our system and we also know that entropy is a measure of information content of some random process or knowing the outcome of that random process how much information to be gained by knowing that okay so whats the formula for the mutual information well we norm