Notice that we did the same three things to calculate both of these expected values. If you rolled a loaded die an infinite number of times, the average outcome would be 4.125, which is higher than what you would expect from a fair die. Hence, the expected value of a loaded die does not equal the average value of its outcomes.
The expected value of a random event is a type of weighted average it is the sum of each possible outcome of the event, weighted by the probability that each outcome occurs:Į(x) = \sum_\\
