Other mistake: House has Metroid Hunters on the DS next to the gangster's ear and it shows Samus in a ball rolling around. The way she was rolling couldn't have been achieved because House was holding it, his fingers nowhere near the buttons on the game.
Merry Little Christmas - S3-E10
Other mistake: Just by looking at Abigail's mother, it is obvious that she does not have cartilage hair hypoplasia (Meredith Eaton has pseudoachondroplasia).
Other mistake: House and Wilson are in the Mens room, and there is a tampon/sanitary pad dispenser. (00:21:30)
Other mistake: At the end, before House's "realisation" the camera pans out and shows a street light when House and Wilson are outside talking. The lamp top is covered with fresh snow. It's been dark for sometime. The heat from the bulb would have melted snow had it actually been real.
Other mistake: When Kate asks House about his insomnia, he reacts by turning to look at her, except that he is now holding the computer in front of him and should be looking there to look at her, not at the coffee table. (00:17:46)
Other mistake: Amber states that Chase has a cat, even though in several other episodes Chase says he doesn't have a cat and wouldn't let Cameron get one because he hates cats. (00:16:10)
Answer: She would have No Reason to know it belonged to the CIA. If she did know he went off in the helicopter, all she would know is that it wasn't an ambulance helicopter.
Greg Dwyer