The problem is that it didn't ask us to choose the numbers uniformly. Perhaps I picked from a Gaussian distribution with mean 5 and a strict cut-off at 1 and 10.
I don't think anything can be concluded unless it asked for "choose uniformly at random among the 10 numbers," if we want results robust against question biasing.
"Choose randomly" is generally understood to mean "choose randomly from a probability distribution containing as much entropy as possible given the problem." I mean, I could choose from the probability distribution {0.001, 0.001, 0.998} but it's commonly understood that this isn't what's meant by the word "random".
I don't think anything can be concluded unless it asked for "choose uniformly at random among the 10 numbers," if we want results robust against question biasing.