But that's not random!!
( 02.11.29 11:14 -0500 ) Mathieu Bouchard:
It's a Markov chain with a probability matrix of:
Then that's not random!
"Almost always, such numbers are also required to be independent, so that there are no correlations between successive numbers." http://mathworld.wolfram.com/RandomNumber.html
This page does NOT give a general mathematical or statistical definition of randomness, but rather discusses a specific type of randomness, often associated with generating pseudo random numbers (uniform or other distribution such as normal) on a computer. It is perfectly legitimate to have correlations among successive items in random number sequences, and to still call this a random sequence. There are many cases in science (for example, Markov Chain Monte Carlo algorithms) where this is used to great effect, and in music, it is very easy to imagine where correlated sequences can produce musical effects that are more interesting than purely random sequences. Also, notice that the definition says "Almost always", NOT "always"!
Lawrence