>If someone is presenting themselves to you in person for entry into your bar, you have far more information to make a judgement on than the color of their skin... so it is not the same.

So the difference between "good" discrimination and "bad" discrimination is the amount of information on which the decision is based upon?

Logically then uber could add a "white only" option, "no queer" and "no leftist". (of course this is arbitrary but you can easily come up with a reason why: if you split any group of real people in two it's only natural that one group has an higher incidence of a negative trait)

This also has a second problem: what if we let the passenger know not only the sex but also if the driver ate fish in the morning (and hundreds of other useless facts)? Does that make it discrimination because they have far more information?

I guess not but then how do you decide what information is valuable in order to decide if there is enough information to judge the individual instead of going off statistics? How can you say that our theoretical racist patron is in fact racist and not going off the only valuable information?