What should go here?  Kinetic theory is the teaching tool physicists use in their elementary courses to illustrate stochastic behavior and the fact that the gas law, pV = nRT, can be explained as a simple result of Newton's laws of motion applied to gas molecules bouncing off the inner surfaces of a container.  Microscopically, each molecule exerts a force on the wall when it bounces off the wall; that is, when "contact" occurs and wall and molecule interact according to Newton's third law.  The force at the contact point builds up to a maximum and falls off to zero in a few zeptoseconds.  It's a bumping, erratic phenomenon at the molecule level, but a smooth, steady phenomenon at the macroscopic level.  It's just the gas pressure on the wall.  Random collisions result in predictable pressure.

Decades ago, in his Scientific American column, Martin Gardner presented the statistician's demonstration of stochastic behavior in which we toss toothpicks on an American flag to determine the value of pi.  The probability of a toothpick crossing a line is a function of the angle the toothpick makes with the stripes, which is, in turn, a function of pi.  The more toothpicks are tossed, the more accurate becomes our calculated value of pi.   (Accuracy of measurement of the stripe-width and toothpick-length also influences the precision we get.)  Randomness of the tossing is central to this method.

"Monte Carlo" methods are also useful to physicists.  These too, illustrate predictability buried in randomness.  (Toothpicking pi is a kind of Monte Carlo method.)

A Roulette wheel or lottery number selection mechanism is fair to the extent that it is random.  Expectation value is always less than one dollar on the dollar in these two gambling systems.  (On the other hand, Blackjack slightly favors the player at the expense of the dealer.)

How might we make these principles clear enough that even the most addicted gambler sees why his money is taking the journeys that it is?