That's still a little bit ambiguous. The problem statement mixes together the policy and the problem statement, and it's hard to tell which is which. Perhaps th

That's still a little bit ambiguous. The problem statement mixes together the policy and the problem statement, and it's hard to tell which is which. Perhaps the policy is to pick a random door, but the problem statement specifies that it happens to contain a goat. In fact, I think the phrase "another door which contains a goat" technically means that the goat is coincidental, because of the difference between "which" and "that": http://www.quickanddirtytips.com/education/grammar/which-versus-that-0 http://www.quickanddirtytips.com/education/grammar/which-ver... So a better phrasing might be "opens a different door that has a goat". That said, I suspect that most readers understand that the door was picked because it contained a goat.