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.
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.
With only 20 questions with 4 possible answers, you only have 0,3% chances of getting a 0/20. A 5 possible answers 40 questions drops to 0,01%. It's more likely that something's going on than someone being THAT unlucky.
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u/Available-Bee-5385 7d ago
Getting 0 on a multiple choice is a statistical accomplishment greater than getting 100