Binomial probability: The probability of getting exactly x successes out of n trials, when the probability of getting 1 success in 1 trial is p is given by the formula. Notice thatis also written as nCx or C[n,x] or the number of combinations of n things taken x at a time. This can also be found with a TI-83 or 84 graphing calculator, press 2ND VARS to find binompdf[n,p,x]. Put in numbers for n,p, and x.
A multiple choice test has 10 questions. Each question has four answer choices.
a. What is the probability a student randomly guesses the answers and gets exactly six questions correct?
That's the binomial probability of getting exactly 6 successes in 10 trials with the probability of 1 success in 1 trial of 1/4.
b. Is getting exactly 10 questions correct the same probability as getting
exactly zero correct? Explain.
No. Although both are very unlikely, it is 3 times as likely to guess an answer incorrectly than to guess it correctly. So it is more likely to guess them all incorrectly than all correctly. [However, in a true-false test, they would be the same.]
c. Describe the steps needed to calculate the probability of getting at least
six questions correct if the student randomly guesses. You do not need to
calculate this probability!
You would do these steps: 1. Calculate the probability of getting exactly 6 correct. 2. Calculate the probability of getting exactly 7 correct.See the Compromises/Disruptions in the Testing Process—Limitation of Remedies section of ACT's Terms and Conditions for remedies available to examinees affected by compromises or disruptions in the testing process.3. Calculate the probability of getting exactly 8 correct.4. Calculate the probability of getting exactly 9 correct.5. Calculate the probability of getting all 10 correct.Then you would add them all up and you'd get: .0197277069 Edwin
How many ways can you answer 10 multiple
How many ways to answer 10 multiple choice questions, when each question has 4 holes to tick. Assume that only 0 or 1 hole may be ticked. The answer is 510, because we include the pos- sibilities of not ticking questions.
What is the probability that you get exactly 10 questions correct by guessing?
There is a 0.25 probability of guessing correctly on a 10 question quiz.
What is the probability that of getting a correct answer in a multiple
The multiple-choice questions on this test have four choices, so your odds are 1 out of 4 that you can pick correctly. To put it another way, you have a 25 percent chance of guessing correctly.
How many possible answers are there in 5 item multiple
1,024