You can theoretically succeed at this as long as you stay within a statistical random probability and can maintain absolute secrecy. This is essentially what A

You can theoretically succeed at this as long as you stay within a statistical random probability and can maintain absolute secrecy. This is essentially what Alan Turing realized he had to do with the information decrypted from Enigma... He had to let enough bad things happen so that German analysts wouldn't see a statistical red flag, signifying an information leak, but he had to divulge enough to steer the war to victory for the Allies.