There's no telling, and the credit card company won't really care. While my cards were activated, I've had someone use my card information on two separate occasions.
The first time, someone used my card information to pay for nearly $1000 in multiple Verizon cell phone bills, and attempted to buy $3000 in Dell computer products. I didn't find out about it until I received a letter from Dell to inform me that I was denied credit, or something of that nature. I never applied for credit through Dell, so I knew something was up.
The second time, years later, someone purchased several hundred dollars in Sonic gift cards in California. Then, 20 minutes later, attempted to rent a luxury hotel room in New York. The bank caught this fairly quickly.
Both times, the bank immediately credited my account for the stolen funds. When I asked if they were going to go after the thieves, they said no. it's not shocking that pulling these types of scams have become a full-time job for so many low life scumbags. Easy money, and almost no fear of being caught.