The probability that a student guesses the correct answer to a four-choice multiple choice question is
P(correct) = 0.25. How many correct answers should a student expect to guess on a test with 76
four-choice multiple choice questions?

Respuesta :

Answer:

19

Step-by-step explanation:

.25 or 1/4 of the questions can be answered correctly by guessing

1/4 of 76 is (1/4)x76=19

p(answer question correctly) = .25

How many correct answers should a student expect to guess on a test  

with 76 four choice multiple choice questions? .25*76 = 19  

The number of correct answers that a student should expect to guess on a test is 19. Using the probability formula it is determined.

What is probability?

  • Probability is the measure of the likelihood of an event to occur.
  • Probability is given by the ratio of the number of favorable outcomes to the total number of outcomes of an event.
  • P(A)=n(A)/n(S)
  • Where A is an event, n(A) is the number of favorable outcomes, and n(S) is the total number of outcomes.

Calculation:

Given that,

The probability of guessing the correct answer to a four-choice multiple-choice question is P(correct-choice)=0.25

There are a total of 76 four-choice multiple-choice questions in a test.

So, n(choice)=76

From the probability definition,

P(correct-choice)=n(correct-choice)/n(choice)

⇒ n(correct-choice)=P(correct-choice)×n(choice)

                               =0.25 × 76

                               =19

Therefore, 19 correct answers should a student expect to guess on a test with 76 four-choice multiple-choice questions.

Learn more about probability here:

https://brainly.com/question/7965468

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