No, if you're guessing randomly, getting 100 is less likely than getting 0. Because for each question there's a 3/4 chance to miss it and a 1/4 chance to get the right answer.
If you aren't guessing randomly, but in fact know every question, getting 100 is no harder or easier than getting 0. Because you can get 0 by choosing to answer each question different from the answer you know is correct.
If you only know most of the questions, getting 100 is harder than getting 0, because for every question that you don't know you have a 1/4 chance of getting it right if you're aiming for 100, but a 3/4 chance of getting what you want if you're aiming for 0.
Still, with this many questions, to get exactly 0 it's almost certain the student knew most of the answers and was deliberately choosing the wrong ones.
YOU WOULD THINK, IN A GAME, WHERE THERE ARE ONLY TWO POSSIBLE CORRECT CHOICES, THAT ONE WOULD STUMBLE INTO THE RIGHT ANSWER EVERY SO OFTEN, WOULDN'T YOU? IN FACT, THE PROBABILITY OF NEVER GUESSING RIGHT IN THE FULL GAME IS A STATISTICAL WONDER! AND YET, HERE WE ARE!
No, they're completely equal, and that's the point.
If you're unprepared for a test, you will basically never get 0 out of 100 (when the questions are binary)
Assuming you answer randomly, the probability of getting 0 just as getting 100 is 1 out of 2^100, which realistically is basically 0. You are expected to score around 50% (and that would kind of be the lowest point you can get, i.e., your answers are not predictive at all of the true answers)
The only realistic way to score 0 in a binary exam is by knowing the correct answers and deliberately marking the incorrect ones. Therefore the student knows just as much as the one who marks all the correct answers and gets 100; they're indistinguishable.
The point I'm arguing against is the true/false part. If you know the answers you can choose to get whatever grade you want regardless of the test design.
In the case where you know all the answers, getting a 100 or a 0 are equivalent because knowing the answers reduces the set of values to correct and incorrect.
They are in a T/F scenario. This looks like a abcd multiple choice test. Which means that you have 3 incorrect answers and 1 correct. Which means it’s easier to reach 0 than 100. Now, I can tell you from experience that blind guessing is still less likely than he knew the answers and got them all wrong on purpose, because you’re still likely to guess correctly about 25% of the time.
No. Because there isn't any independent proof that a person knows all the answers. That determination on what is known relies in the very biased word of the person.
A overly confident idiot and liar could guess poorly, get them all wrong and then claim that they did it on purpose. Would you believe that they did it intentionally?
If you know the answer to every question the difficulty of getting a zero is equivalent to getting a 100. So it's still not a more difficult accomplishment to get a 0.
It's highly unlikely, but not impossible. Just because someone got 0 could indicate they did it on purpose, but also, they might just have been phenomenally unlucky with all their guesses.
If you're guessing at random its statistically incredibly unlikely to get a 0 or 100, unless the multiple choice has like 10+ answers then a 0 becomes more likely.
A 0 on a standard 4-choice or 5-choice test would mean the test taker either didn't try, or intentionally didn't pick some correct answers at minimum.
I had a true/false exam once where answering a question wrong would give you negative points. I think it was something like correct answers = 2 points, no answer = 0 points, and wrong answers = -1 point.
You would think, in a game where there are only two possible correct choices, one would STUMBLE INTO THE CORRECT ANSWER every so often, wouldn't you? In fact, the probability of never guessing right in the full game is a STATISTICAL WONDER, and yet here we aarrreeeee
This is most certainly untrue. There are multiple choice tests that exist with hyper specific answers. Like there are choices A through H and A through D are all part of the answer and E through H are various combinations of the answers with only 1 choice that is explicitly wrong and 1 that is completely right. Getting the exact wrong answers every time and getting the exact right answer every time is only achievable with the actual knowledge of the subject matter.
We used to have a teacher tell us if we missed every question in a T/F test he'd give it a 200%. Noone got it and I think only a couple attempts were made over the whole year.
The problem with that movie is the assumption of guessing randomly. If you actually tried and just every answer wrong, you'd still be an idiot, not a genius.
It is, however, unlikely that someone at a gifted school would get a 0 on a true false test.
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u/Available-Bee-5385 12d ago
Getting 0 on a multiple choice is a statistical accomplishment greater than getting 100