Here is the word problem that I made up (this actually happened to me), and I would like to find out how I would work this. This problem seems to be rather hairy.
Suppose a teacher puts you into a group and hands you five papers. The following table describes the papers:
Number of Questions Missed:|Answers Chosen:
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5 |A,B,C,D,B,C,E
3 |A,B,C,D,B,C,E
4 |A,B,C,D,B,C,E
5 |A,B,C,D,B,C,E
Each paper has a certain number of questions missed, and each has the answers chosen above (the answers in the table are just an example, if you want actual sample data, just ask and I can easily fix the table to reflect a real scenario).
Given the above information, which answer is most probably correct for each question and what is the probability of it being correct?
Note: The above table is just to show the type of question that I am asking, as I am more interested in the methodology than the answer.