Picture these scenario.
You go into a bank to open an account and they give you a shiny ATM card and a Keypad and ask you to choose 4 random numbers as your "PIN". You then use your "PIN" to get money out of your account. Thats a use of random numbers without a DICE which is obviously permissable.
Randomisation of numbers has vast implications in PKI and in setting codes...please also read:
DICE on the other hand is specifically prohibited in Ahadeeth and has connotations associated with gambling.
Random numbers are just that they can be used for EVIL (gambling) or for GOOD (PIN on your ATM card) or password to logon to Sunniforum etc.