Assuming the questions are answered at random, the probability is 0.000009, approx.
It is 0.0033
In a multiple-choice test with 4 options (a, b, c, d) for each question, the probability of guessing correctly for each question is ( \frac{1}{4} ). If a student guesses on 10 questions, the expected number of correct guesses can be calculated by multiplying the number of questions by the probability of a correct guess: ( 10 \times \frac{1}{4} = 2.5 ). Therefore, the mean expected correct guesses for the student is 2.5.
.237 or about 24 %
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.
In a Binomial distribution, if a student randomly guesses on multiple-choice questions with 5 possible choices, the probability of selecting the correct answer is ( p = \frac{1}{5} ) and the probability of selecting an incorrect answer is ( q = 1 - p = \frac{4}{5} ). The expected score for a student guessing on ( n ) questions is calculated as ( E(X) = n \cdot p ). To ensure that a student who randomly guesses has an expected score of 0, the number of questions ( n ) must be set to 0, or alternatively, the scoring system must be adjusted so that the expected value of scoring remains zero, such as by introducing penalties for incorrect answers.
It is 0.0033
In a multiple-choice test with 4 options (a, b, c, d) for each question, the probability of guessing correctly for each question is ( \frac{1}{4} ). If a student guesses on 10 questions, the expected number of correct guesses can be calculated by multiplying the number of questions by the probability of a correct guess: ( 10 \times \frac{1}{4} = 2.5 ). Therefore, the mean expected correct guesses for the student is 2.5.
In order to answer, the number of questions on the test must be given.
.237 or about 24 %
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.
P = (6!)/(6-4)!4!=15
The probability will depend on how much you know and the extent of guessing.
64/256
yes
Multiple choice questions about pollution awareness could be asked in a general knowledge quiz. They my also be used in exam questions at school.