I'm looking for an algorithm, pseudocode or any langauge, to generate random numbers with the following characteristics:

integer values in the range 0-n

lower values much more likely to happen than higher values,

eg prob of 0 is n/(n(n-1)), prob of n is 1/(n(n-1)) - linear relationship between value and probablility

but the exact relationship isn't important - could be exponential, square etc

speed/efficiency is important - don't want to use expensive functions like exp, log sqrt etc

I'd be grateful for any suggestions, pointers, or links.

Thanks

James

(In case anyone wants to know, short version: this is for picking requests from a FIFO queue - the items should be picked randomly, but the earlier requests should have a higher probablility of being picked)

*Edited
by JamesCherrill*