Random means uncorrelated, or nopattern.
Put 900 red balls and 100 black ballsin a large bowl.
Shake and mix as thoroughly as you can.
Pick a ball, record its color, put itback in the bowl, and reshuffle.
As you repeat the process on any givenselection or sample there is no pattern of colors that will allow youto predict what the next color picked will be.
Flip a coin 100 times. For a decentlyrandomized toss the average of heads and tails will be close to50/50. But on any toss the fact that the prievious toss was a heador tail has no effect on the next result, uncorrelated events.
Some gamblers at the craps tables thinkthey see patterns and bet accordingly.
Generating random numbers andsequences are important in many applications.
Random number generators done insoftware are pseudo random, the sequences will always repeateventually and have some pattern. Critical for encryption.
Hardware generators have used cosmicnoise and electronics noise.
The old 'numbers game' in which peoplebet numbers in some cases used the daily ending numbers of the stockmarket.
Whether or not processes that appearrandom to us are just the inability of us to measure is an openquestion.
What is random is actually an importantquestion. In his chapter on random number algorithms Knuth simplysays random is what fits your definition of random. One way to lookat it.
http://quanterion.com/FAQ/Bathtub_Curve.htm
In the 'bathtub curve' applied to humanmortality phase 1 is called infant mortality. A period of highmortality due to things like birth defects. Phase 2 is the 'usefullife' adult period in which you are more likely to die from chanceevents. Hit by lightning, hit bay car, catching a disease.Unpredictable random events.