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in this lesson were going to focus on something called conditional probability perhaps youve seen something like this p of a with a bar next to it and then a b what does this mean this represents the probability that event a will occur given that event b has already occurred so lets say we have a six-sided die with a sample space of the numbers one all the way to six and lets say that event a is any time we get an even number by rolling or lets say an odd number when we roll the die so one three and five and event b lets say that corresponds to the numbers 3 4 and 5. so what is the probability that event a will occur given that b has already occurred before we get into the formula lets talk about a quick and simple way of getting the answer ask yourself this question how much of a is in b the elements of a that is in b is three and five so theres two elements of a that is in the three elements of b so two-thirds of b is basically from a so thats the probability of event a occ
