FAO Sceptical ( The EU reincarnation of Mister Q)

Sceptical, you spout daily rehashed tripe about the EU and the doom that lies ahead, so I would be interested in testing just how logical your brain is and whether it is indicative of your remain mindset to be able to work out simple logic questions or if it is simply beyond you.

A simple question Sceptical, no tricks or silly terminology that hugs used about plugs not being put in baths etc. I’ve tried to keep it as simple as possible and on the theme of jc as many seem to log in inebriated. I’d appreciate letting our Mr logic EU man Sceptical answer first before anyone else does

A barman has three small objects (counters)  , 2 are white and one is black. The barman places each individual counter under one beer mat so there are three beer mats (opaque) with a single counter under each one. A customer walks into the pub and the barman asks him to guess which of the 3 beermats the black counter is under. The customer picks mat A, the barman then states he is going to remove a white counter from either mat B or C and the mat that covers it  leaving two beer mats left – the one the customer originally chose and another one that may have a black or white counter under it.

Statistically in percentage terms, with two mats remaining, what are the chances of the customer picking a black counter from his original choice and would his chances of probability change in finding the black counter  if he changed his pick to the one remaining beer mat?