I'll go on record as guessing that somewhere around 82-88% of the US general population would say 1/6 as the answer.
Here's a tell. When confronted with the statistics from Alan's Facebook page regarding this question, the 1/11ers responded with comments regarding how poorly the general population does with basic math and statistics. Nobody made the comment that the author of the question must be an example of how badly math guys write because he/she led people to a "wrong" conclusion. The 1/11ers who responded criticized the readers as a group and judged them, which seems harsh considering how many readers there were. They did not criticize the author, even though the likelihood of there being one really bad author seems (if probability principles are used here) more likely than a couple hundred really bad readers.
Maybe the proper conclusion isn't "general population bad in math," but "math guys really bad at writing and evaluating others' writing."
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