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Originally posted by Nevadaref
You need to revise what you are writing to something more along the lines of "Although, we would expect someone who is guessing to get about half of their answers correct, there is an outside chance that any single test taker's results could be far from what is expected."
I agree with the rest of what you wrote.
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Well, maybe you should go back & reread my posts, pay attention to this:
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Probability does not apply to a *single* random test taker. This is a fundemental concept. A single random test taker could get all, some, or none right in a 100 question T/F test and his results can not be predicted by the laws of statistics. Also, as Mark said, for N large we should expect SOME guessers to get 100% correct. But for N large the guessers tend to converge on a score of 50% correct with a probability approaching 1.
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I would suggest you go back to YOUR original post & reword that to make it fit the mathematics that we both seem to know so well - I suggest a few sprinkles of "on average", "likely expected outcome", and like that.