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Hi there! Let me do my best to answer your questions: 

1. Yes, the face cards are removed from the deck. In hindsight, the unused face cards should be reshuffled back into the deck. When I tested the game originally, we did not add them back in but they certainly work better for the math and gameplay.

2. Yes, you count the value of your Secret Agenda card, which means you should always have at least a score of 10. 

3. After P's turn and if P did not go bust and if at least one agent beats P, then it's a successful action. If the other players go bust, it does not affect the results unless a player wagered a Lucky Coin as well. 

4.  The bust affects an outcome only if a Lucky Coin was wagered when determining results. If no Lucky Coin was wagered, then the Bust is ignored when referring to the Results table. 

5. Yes, the wager still works and the agent keeps their coin.  

Thank you!

That's very much the way we played, but we found the game was heavily stacked against P. As agents we did all sorts of risky things with low scores, and wagered on them, and never managed to fail. It seems hard to imagine actually running out of Coins.

I'd thought we were almost certainly doing something wrong, but it doesn't sound like we were :)

If multiple agents attempt the same risky action in different ways can they use different stats to do so?

I'm glad you found the game fun and thank you so much for all the feedback! I deeply appreciate it. 

If multiple agents attempt the same risky action but in different ways, yes you can use different stats for sure!