Okay, so I've created an addendum to this game. If you are able to tell that the girl is wittier than the usual, you can still win. I haven't seen anything posted like this, so I think I am the originator.
1. You explain the game, she goes along and plays game.
2. Then you get to the, "Wait, how many questions was that?"
3. She gives you the correct response by lying.
Here is where I have authored it slightly. Don't ASK, TELL. It's a great neg/slight NLP, and you will most likely get her, without failure (I just came up with it so it hasn't been field tested).
You: "Hahaha, wow, you suck, you're one of those girls that tells the joke before someone's finished telling it. "When have you played this before?" (question 5)
The trick is your TELLING them they've played it, even if they haven't, and think they are just smart enough to keep up with you, their response will be:
"I haven't played it, I'm just not as dumb as you think I am." *as she's teasing you and think shes won*
OR
"Haha, some guy tried it on me once when I was in a bar." *with a smile on her face thinking she's won again*
You: "HAHAHA, actualllllyyyy, I just got you on the last question
."
Asking if they've played it before leads the answer to be yes or no. Asking when they've played it leaves the answer completely open-ended for you to take the win, pretty much regardless of what she says. Hope this helps and good luck.