Forgive me if this is a silly question, but here goes: Say you have two unrelated distributions (A and B) with known means and standard deviations. How would you determine the probability of any single value of A being greater than any single value of B? The easiest example I can come up with for clarification would be something like this: Over 1000 games baseball team A scores: μA=5 runs, σA=1 runs per game. Over 1000 games baseball team B scores: μB=4 runs, σB=2 runs per game. What is the probability on any given day that Team A outscored Team B? Sorry if this example seems elementary, but I am far from a statistician. Thanks for the help.