3 digit number game - PLEASE HELP

A number from "000" to "999" is randomly generated. after generating 6,700 numbers there is ONLY ONE number that has not been generated (ie: 884). What is the probability of that number being the next one to be generated? how many more numbers do you expect to be generated before the "884" comes out?

Note: Now I am confused after reading about the 'gambler's fallacy'. BUT my logical reasoning says that because 6,700 numbers have been generated, theres a big chance that the only number that hasnt been generated (884) is comming out very very soon.

Please help