Speaking of random numbers, the seemingly unrandom nature of randomly generated numbers is why some games use a pseudo-random number generation system to simulate fairness.
For instance, in fire emblem every unit has a percent chance to hit another unit, but in some games they calculate it by generating 2 random numbers, finding the average, then comparing that average against the hit chance to see if an attacks hits or not.
Dota also has pseudo-RNG, for some abilities that do something like "25% chance to stun enemy", the first time you use the ability it has below 25% chance to stun, then every time you re-use it the chance increases until you stun - at which time, the percent chance resets. Over an entire game, the number of stuns averages out to 25%.