You have a 4 percent chance of guessing both answers correctly assuming there is only one correct answer to each question and that you may only answer once per question.
The probability will depend on how much you know and the extent of guessing.
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.
6 to 1. (That is, 6 incorrect to 1 correct.) This is equaivalent to a probability of 1/7 or a 14% chance of guessing the correct answer.
Since there are 4 choices the probability of guessing any given answer correctly is 1/4 or .25; call this a success and denote it by p The chance of guessing wrong is .75; call this a failure and denote it by q. So the chance of 3 out of 5 correct answers is 5C3xp^3q^(5-3)=10p^3q^2 5C3x(.25)^3(.75)^2 5x4x3/3x2(.15625)(.5625) 10(.12625)(.5625)=.0877891
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.
The probability will depend on how much you know and the extent of guessing.
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.
The probability of Nancy guessing the correct answer for a single question is ( \frac{1}{4} ) since there are 4 choices (a, b, c, d). For 5 questions, assuming each guess is independent, the probability of guessing all questions correctly is ( \left(\frac{1}{4}\right)^5 = \frac{1}{1024} ). Thus, the probability of Nancy answering all questions correctly by random guessing is ( \frac{1}{1024} ).
.237 or about 24 %
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%.
The probability of getting both answers correct is one chance in nine (0.1111+). There are three possible answers for each question, so there is a 1/3 chance of getting the correct answer to one question. To get the correct answer for both questions, the chances are 1/3 x 1/3 or 1/9.
6 to 1. (That is, 6 incorrect to 1 correct.) This is equaivalent to a probability of 1/7 or a 14% chance of guessing the correct answer.
To answer this, the total number of questions on the test would need to be known.
Since there are 4 choices the probability of guessing any given answer correctly is 1/4 or .25; call this a success and denote it by p The chance of guessing wrong is .75; call this a failure and denote it by q. So the chance of 3 out of 5 correct answers is 5C3xp^3q^(5-3)=10p^3q^2 5C3x(.25)^3(.75)^2 5x4x3/3x2(.15625)(.5625) 10(.12625)(.5625)=.0877891
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.
64/256
An hypothesis starts out as a what if. So does guessing.