Is right to ask for identification at a restaurant that has had fake 50 and 100 dollar bills in the past?

Question

At the store I work at we have got some 50 and 100 dollar bills that pasted the marker but when it went the bank to get deposited the bank told us it was fake. Alot of customers get mad because we write down their information and the serial number on that dollar bill, so if it comes back that it was fake we have the information of the person we received it from. Once that deposit is made we discard of their information properly. Some customers tell this is outrageous, and they are going to make a big issue out of this.

Answer 1

I think that is outrageous
yes it can pass the marker test BUT
you can tell if its fake by looking for the security strip in every legal bill ( verifying what denomination it is) and seeing if another President's face is a shadow in the background when you hold it up to light