Law Of Averages

"Anything that can happen will" -- Steve Goodman, from The Dying Cubs Fan's Last Request

The law of averages makes a suggestion about all reiterated prbabilistic events. If we take a specific example, like a repeated coin toss, it implies that prior tosses should make us expect something from future tosses. Like if I throw heads 19 times, though I should still think that the probability of another heads is 50%, I should be somewhat relieved to finally see my coin land on tails.