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Let us say that for each question, there are n multiple choices. If this is true and false, then n=2. The chance of getting a right answer is 1/n and wrong answer (n-1)/n. I will define p as getting a wrong answer one time (p = (n-1)/n so the probability of 20 wrong answers is p20. Now for n = 4, p=0.75 and the chance of 20 wrong answers in a row is: (0.75)20= 0.0032 or 0.32%.
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What is the probability of getting a question right simple by guessing?
That depends a lot on the specific circumstances, of how you guess. For instance, if a test has true/false questions, the probability is 1/2; if it is a multiple-choice question with 4 options, the probability is 1/4; if there are 6 options, the probability is 1/6, etc.; if you have to calculate a number (and it is NOT a multiple choice question), the probability is rather low, indeed.
What is the probability of getting exactly 7 out of 12 multiple choice questions right if a student randomly guesses one of the five possible choices for each question?
It is 0.0033
What is the probability that if you just guess on five multiple choice questions each with four possible answers you will get none of the questions correct?
.237 or about 24 %
What are the odds of getting 100 percent on a 10 question multiple choice test where each question has 2 possible answers?
The odds of getting 100 percent on a 10 question multiple choice test with 2 possible answers for each question can be calculated using the probability formula. Since there are 2 options for each question, the probability of getting a question right by guessing is 1/2 or 0.5. To calculate the probability of getting all 10 questions correct by guessing, you would multiply the probability of getting each question right (0.5) by itself 10 times, resulting in a probability of (0.5)^10, which is approximately 0.0009765625 or 0.09765625%.
What is the probability a student can answer 49 out of 50 questions wrong on a four answer multiple choice exam?
Assuming the questions are answered at random, the probability is 0.000009, approx.
