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May 18th, 2010, 12:47 PM  #1 
Newbie Joined: May 2010 Posts: 1 Thanks: 0  Probability  same answer 4inarow on multiple choice exam
The following questions are assuming that the answer choices are randomly generated (no human bias in avoiding certain sequences). I would greatly appreciate everyone's help with the following (related) probability questions. I believe they involve something called binomial probability but it's been several years since I've taken any math course and don't believe I ever took any math that dealt with these kinds of questions. Can someone please show me how to solve them? Thank you! On an multiplechoice exam's answer key, what are the chances of a particular answer choice appearing 4 times in a row, assuming there are 5 answer choices (A, B, C, D, & E) and 25 questions on the exam? How many 4inarows would one expect over the course of 256 25question exams? What are the chances of having 2 4inarow occurrences in the same 25question exam? The letter doesn't have to be the same for each occurrence. How many of these would one expect over the course of 256 25question exams? What are the chances of a particular 5answer sequence (such as "ABCDE") occurring 3 times over the course of 256 25question exams? How many ABCDE sequences would one expect over the course of 256 25question exams? 
May 18th, 2010, 04:23 PM  #2 
Senior Member Joined: Jan 2009 Posts: 345 Thanks: 3  Re: Probability  same answer 4inarow on multiple choice exam
Try something even if its wrong. You get much better feedback after trying because you'll know what YOU need to do next time.


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