Actually, if I really thought my place was bugged by the FBI, I would feed them a ton of misinformation.
Slightly off-topic, when some scam artist calls me, saying they're with the IRS or with Microsoft, I take them for a ride. My plan is to waste their time - 5 min with me is 5 min less to scam an elderly person - and dispense some justice. I go along with their charade: I give them my name (Richard Nose or Nigel Tufnell), my address (1060 W. Addison in Chicago), and so on and so on.