as soon as 1 goat door is open, your probability of having picked the right door originally become 1/2, if you pick again, they stay 1/2... (wow, imagine that, probabilities do change)
if the question was: Are the probability better at the time of the second pick than when you made your first pick, than yes, sure....
but a logic problem being tricky only because of how the question is asked isnt much fun... especially when its a russian asking
