Jump to content

Guessing On A Multiple Choice Exam...


Recommended Posts

I've heard that on these types of exams you should not guess unless you can eliminate some choices. But it seems to me that even a guess among four choices is +ev..1/4 of the time you get it right and earn one point: 0.25 X 1 = +0.253/4 of the time you get it wrong and lose 1/4 point: 0.75 X -0.25 = -0.1875add ev = 0.25 + -0.1875 = +0.0625Compare this to your EV from leaving the question blank which is zero, and it looks to be like guessing is OK - of course the EV only increases if you CAN eliminate choices. The other option is that I'm a dumbass and doing this all wrong. Which is it?

Link to post
Share on other sites
perhaps there are 5 answer choices on this exam?
Perhaps you can eliminate one choice?But even with 5 choices its a break-even bet.To look at it another way, if you randomly fill in 100 5 choice questions, are expected to get 20 correct for 20 points. The other 80 you lose 1/4 point each for -20. Overall, zero - the same as not answering any. It seems to me you should always guess, because at worst its break even with five choices if you are making a totally random choice. However, usually you can eliminate one or more choices, or at least get a "feeling" about one choice that is better than the others, pushing the odds into your favor. BTW the test I am speaking of is the high school AP exam (I'm a teacher) and several guides to the exam I've come across advise against guessing, or say only to guess if you can reduce the choices to 50/50. So I wonder if I'm missing something, but it doesn't look like it to me.
Link to post
Share on other sites
Perhaps you can eliminate one choice?But even with 5 choices its a break-even bet.
ok, I was making a guess as to why they used a 1/4 penalty.The rationale for not guessing then, would be that you could spend more time on ones you know.Obviously f you can reduce your choices, guessing is +EValso, perhaps ansers are written by experts who know what to put that leads people to guess incorrectly.Id have a pre planned guessing algorithm. Something that utilizes the fibonocci series works well.
Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now
×
×
  • Create New...