At the Counterfeiters' Club...Discrete Mathematics Level 3
The Counterfeiters' Club is having a lottery. There are two prizes. Every member of the Club submits exactly one entry, and these entries are stored in a box.
After this is done, Fred the Forger forges 6 extra entries with his name on them and sneaks them into the box. He is the only member of the Club to sneak in extra entries for himself.
The chances of Fred winning both prizes, and his forgery thus being discovered, is exactly 7%.
How many people are members of the Counterfeiters' Club?