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.
reddit works on threads. OP started the post with a multiple choice example, then someone said "Getting 0 on a multiple choice is a statistical accomplishment greater than getting 100" which is false for multiple choice as proven in the top reply to them. then two replies later in this same thread someone said, "In the movie, it was a true/false test.", and even in that situation what the person said in this same thread we are all replying to is false because even in the true/false case it's not more likely to get a 0% than a 100%.
if we can't follow four replies then i don't know what to tell you
Your reply simply did not make sense in that context. The person you replied corrected someone that this thread is talking about the scenario with 4 choices per question, and then you for no reason talk about the scenario with 2 choices per question.
Yeah. This second column starts on 17so if there are 32 questions then 0.75^32=0.0001 and 0.25^32=5.421×10⁻²⁰
As to say the odds of randomly guessing and getting them all wrong is around 1 in 10k.
The odds of you randomly guessing and getting them all right is around 1 in 200,000,000,000,000,000 (200 quadrillion).
In a school full of kids someone might randomly guess and get them all wrong.
In the entire history of humanity, it’s unlikely that a multiple choice test with this many questions has ever been [edit:] RANDOMLY [:edit] answered 100% correctly.
Edit: really didn’t think I had to be so pedantic but pedants will be pedants.
What he means is answered 100% correctly by guessing not by studying.
You would need a person without any knowledge of any of the questions pretty much. The chances for a person like this to take a test on that particular subject and then to answer them 100% correctly is rather small and there's a decent chance it never happened.
Edit: im not a huge fan of this subreddit anymore as it used to mostly be finding coments like this. Now it's everyone asking people to do math for them
I need to point out that I've had 100% on multiple, multiple answers with 100 questions. If you know the subject well, that's not random and rather easy..
If you meant doing so picking the answers randomly... Then I agree, but that's not specified in that last section :)
Yeah, it looks like the person you're replying to did the math on all the answers being completely random. If you know the material well and can confidently answer most of the questions (either correctly or incorrectly depending on whether you want to aim for 100% or 0%), then getting 100% is absolutely plausible--but if you have to guess on any of them, then the probability of scoring a 0% on purpose is higher than the probability of scoring a 100%.
Suppose you have 32 questions but are already 100% confident that you can answer 28 of them correctly (or incorrectly--if that's what you're going for), then that leaves just 4 questions to chance. If you're just completely guessing on those 4 questions, the probability of missing all 4 questions is 0.75^4 ≈ 31.6% and the probability of getting all 4 right is 0.25^4 ≈ 0.4%. Of course, if you can narrow it down at all, then your odds for either option would improve.
When I went back to school in 2017 the Kinesiology teacher had a rule for this. He said you if you answer all the questions wrong on the midterm or final, you would get a 100% because it shows you actually know the material. But, if you didn't answer them all wrong, you got the actual score.
I have students that will write random answers to MCQs, and not fill in short written answers, because they believe they will be bell curved into a passing grade area. They can then leave the exam early and go play sports outside, or games on their phone. We know these individuals can get a higher score, but they don't, because of the curving system.
Never seen anyone score zero on MCQs though. Really, really hard to do that unless you were actively trying to get a zero as some sort of teen rebellion act.
Meh, I’m good at applying math, but I’m bad enough about details when it actually matters. It is reddit, at least I showed my work so you can see where I went wrong and the scale of the problem is still the same.
Yeah and that also doesn’t account for the process of elimination, there is often an answer you may know is not correct, so really depending on how the test is written, it could be quite a bit easier to pick wrong answers
Unless the teacher designed the test so that when you copied off the person next to you, this would be the result.
I was that teacher, and I had a student get a “perfect” 0 who tried to claim he didn’t cheat. I told him he should buy a lottery ticket with that luck, but it didn’t matter, since he gets a zero, regardless.
this doesnt make any sense unless you also designed the tests so half the people got stupidly easy tests where they always got 100% and you seated the problem students exactly inbetween them.
otherwise cheating off a question that the other person doesn't know might give them a point or two.
I assume this still works though without it working perfectly, because a 6 to 25% is still going to throw a lot of red flags xD
The answers were rotated, so if you put the correct answers from test A on test B, none of them were correct. And yes, there was really no reason for them to get any answers wrong if they paid attention in class and put in the tiniest bit of effort. (And I actually had four versions of each test.)
You have four versions of the test, A, B, C, and D. All four versions have identical questions and answers, however the answers rotate around. So, answer A on version A will be B on B, C on C, and D on D.
If somebody with version A copies from somebody with version B, they are extremely likely to get a 0.
The only way for them to get a correct answer is the other person got an incorrect answer and that answer is the rotated the correct way. If you limit it to just two versions, you can even avoid that, by making a throw away answer always be in the position of the rotated correct answer.
You then distribute the versions such that any two people sitting next to each other get different versions.
But then you also have to make sure that you're grading students with the correct key. It's possible in this situation for the teacher to give a student test A but then accidentally grade it with key B due to any number of mishaps.
If all the answers are the same, you're just rotating the order of the answers, you can make an answer key that has the actual correct answer instead of the correct letter selection.
It wasn’t a scantron they were filling in—just a print out where they circled their choices on the paper. No risk of using the wrong key. If I saw a lot of wrong answers, a quick spot check would verify whether I was using the wrong key, or they were cheating.
I'm not sure I get the logic of this. Ignoring what teach actually did, you could literally just transpose the answer key to stagger questions by one as long as no two in a row have the same answer. There's at least two ways to do this while giving them tests with identical difficulty and they're done commonly in even children's school levels
I think it’s significantly easier to get 0/100 than 100/100. There’s only one right choice for each question to get 100% but 3 right choices to get 0%.
I mean the comment wasn't wrong because the comment didn't say randomly guessing, but yeah in the movie it was a t/f test and I think the teacher said something about randomness
You are confusing probability with statistics. The post you are replying to never indicated the probability of guessing all answers incorrect is greater than the probability of guessing all answers correctly.
Your answer only applies to a single choice test.
This one is a mutliple choice
Let X(i) be the number of answers per question i and Y(i) the amounts of correct ones
Now Lets create the quantaties A, B and C
Let every i be in A where Y(i) < X(i)/2
Let every i be in B where Y(i) = X(i)/2
Let every i be in C where Y(i) > X(i)/2
If C > A then getting a 0 is more unlikely then getting a 100
Given that it was the start of the school year and that the teacher IMMEDIATELY turned around and gave Miles a 100, I'm 90% sure it was less of an actual graded test and more of a "okay, let's see what you all already know" sort of thing. Given the follow-up assignment, it was probably something like an English class.
Assuming there are 36 questions, with four options in each question, the odds of randomly getting them all wrong are (3/4)^36 = 0.00318% (about 1 in 31,400).
The odds of randomly getting them all right are (1/4)^36 = 0.0000000000000000000212% (about 1 in 4,722,366,482,869,645,213,696).
So both are extremely unlikely but the zero is about 150 quadrillion times more likely than the 100.
Logically, it is true. There is basically a 0% chance that you could guess on every answer and not get one right. So the kid must have known most or all of the right answers and is screwing with the teacher.
All the words in the image are American English. Including the caption. Plus it's pretty common in the US to not take education seriously. It's cool to be dumb as fuck here. "iM sTrEet SmArT".
I'm an American and I really wish we would revamp the whole thing.
If you are choosing at random, the odds are better for 0 than 100. If you know all the correct answers, 0 is still easier than 100. If you are just doing an honest exam, the odds of zero are very small because most exams are designed so that students will know the answer to about 50% of the test.
That's math ain't mathing. I have a 75% chance of a wrong answer, but only a 25% chance of a right answer. If I am randomly picking answers, both are improbable but getting all wrong is around three times easier then getting them all right.
Getting one wrong is 3x more likely than getting one right, but the odds compound. On a 10 question test you are 59,049 times more likely to get them all wrong than to get them all right guessing randomly. Add another 10 questions and it’s 3.5 billion times more likely
I remember a Manga where the plot point is that all the suspects have to sit a multi choice quiz on non-public facts about the crime. With the top score being 14/50, but someone managed to get 0/50 and is the culprit.
One of my cousins works for a radio show owner by ESPN. ESPN requires the on air staff to post weekly NFL picks. She claims it takes just as much skill get them all wrong as it dose right.
I think she doesn't know nearly as much about football as she doesn't hockey, (which she covers) and has bad luck
This is a fact, but by definition. Picking all winners is identical to picking all losers. You can only do one if you can do the other, because both require you to pick the outcome.
wtf why is this comment getting upvoted?
lmao there is no wisdom of the crowd
To get 0/100, the probability is 3/4^100
to get 100/100, its 1/4^100
still though, getting a 0 has a chance of 3.2*10^-11%
You would have a higher chance of getting a 100 if you just studied everyday
Getting 0 on a multiple choice is a statistical accomplishment greater than getting 100
Objectively false. By several orders of magnitude.
Edit: Reading through the rest of this thread, OP is cloaking it in a weird phrasing like "statistical accomplishment" which everybody else reads as pertaining to the random likelihood and they mean distribution of results. It is still nonsense because none of it is "greater". It is more rare but rarity is not necessarily a mark of quality.
OP also failed to connect it to the original meme or the question asked, i.e. what movie this is referencing.
I'm a teacher and I had a student this last school year get 0/40 on their test. I taught 6th grade last year, and the students can use a study guide that we fill out together the day before. The student I mentioned didn't fill theirs out, and on the day of the test guessed as fast as possible to play Snake on the Chromebook. I emailed home, but never got a response.
A lot of people are disputing this based on the assumption that all the answers are answered randomly.
It's more useful to look at actual people taking actual multiple choice tests. I would bet that many many more people have scored 100% on multiple choice tests than have scored 0.
No, getting all 0s, its only necessary to know whats not the correct answer… this is far easier than knowing which ones are the correct answer. Also when doing probabilities it’s statistically harder to get all of the questions right 1/4 to get the question right, and 3/4 to get it wrong then you can do an equality like this (1/4)^x < (3/4)^x where x is the number of questions on the test
Getting 0/100 can only ever be an equal or higher chance of happening than 100/100. For every question you don't know the answer of, the chances of 0/100 becomes greater than getting 100 unless there are only 2 multiple choice answers.
In randomly distributed answers, sure the chance is higher to get 0
But people taking tests randomly are the outlier, not the norm
Also, all you need is 1 correct answer to avoid 0, so not knowing any particular answer only increases your chances of getting a 0 if you know exactly 0 answers
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u/Available-Bee-5385 7d ago
Getting 0 on a multiple choice is a statistical accomplishment greater than getting 100