/sci/ - Science & Math

Lord help her she's an atheist~

'sup guys, got a new problem, and I'm afraid to have made the same mistake.

Here it is:
200 cars are made. 80 are Volkswagen, 40 are GM, 20 are Fiat, 10 are Ford and the rest are from other companies.
60% of the cars of VW are white, 40% of the cars from GM are white, 70% of Fiat's cars are white, 65% of Ford's cars are white and 80% of the others cars are white. The other color possible is black.
Considering a black car was chosen, what is the chance it is from Fiat?

I got 3%, doing 200 cars -> 20 cars are Fiat -> 30%(6) of Fiat's cars are black -> 6/200 -> 3%

Is it correct or I was wrong in considering all the cars?