Q: 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?

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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.

Probability of each question correct is 1/4 or 0.25. Since there are 5 questions, raise 0.25 to the 5th power or (0.25)5. So, probability all correct is 0.0009765.

Assuming you reply each answer randomly, your probability is (1/2)10 = 1/1024 (about 0.1%). Of course, if you have at least some idea about some of the questions, your chances improve (you will have to guess on less questions).

The probability of rolling a multiple of five on a standard die is 1 in 6, or about 0.1667.The probability of rolling a 10, 15, or higher is zero, because the question implied only one die.

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The probability of correct true & false question is 1/2 and the probability correct multiple choice (four answer) question is 1/4. We want the probability of correct, correct, and correct. Therefore the probability all 3 questions correct is 1/2 * 1/2 * 1/4 = 1/16.

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.

The answer depends on the number of choices available for each question.

1/5 or 0.2

64/256

If there are four possible answers to a question, then a guessed answer would have a probability of 1 in 4. If there are six questions, then the mean number of correct answers would be six times 1 in 4, or 1.5

Probability of each question correct is 1/4 or 0.25. Since there are 5 questions, raise 0.25 to the 5th power or (0.25)5. So, probability all correct is 0.0009765.

There is 1 right answer out of 5 possible answers, so the probability of guessing it correctly is 1/5 or 20% or 0.2.

Probability questions are not all the same so there is not a single kind of answer: it depends on the nature of the question!

Assuming you reply each answer randomly, your probability is (1/2)10 = 1/1024 (about 0.1%). Of course, if you have at least some idea about some of the questions, your chances improve (you will have to guess on less questions).

The probability of rolling a multiple of five on a standard die is 1 in 6, or about 0.1667.The probability of rolling a 10, 15, or higher is zero, because the question implied only one die.

Well they are independent events so it is the probability of getting a correct answer multiplied by the probability of getting a correct answer on the second question. Short Answer: 1/5 times 1/5=1/25