Question
The probability that a student guesses the correct answer to a four-choice multiple choice question is P(correct)equals0.25. How many correct answers should a student expect to guess on a test with 72 four-choice multiple choice questions?
Question content area bottom
Part 1
A student should expect to guess
enter your response here correct answers.
Question content area bottom
Part 1
A student should expect to guess
enter your response here correct answers.
Answers
GPT-4o mini
To find the expected number of correct answers when a student guesses on a four-choice multiple choice test, you can use the formula for the expected value. The expected value \( E \) is calculated by multiplying the probability of success by the total number of trials.
In this case:
- Probability of getting a correct answer, \( P(\text{correct}) = 0.25 \)
- Total number of questions, \( n = 72 \)
The expected number of correct answers is given by:
\[
E = n \times P(\text{correct}) = 72 \times 0.25
\]
Now calculating this:
\[
E = 72 \times 0.25 = 18
\]
Therefore, a student should expect to guess **18** correct answers on the test.
In this case:
- Probability of getting a correct answer, \( P(\text{correct}) = 0.25 \)
- Total number of questions, \( n = 72 \)
The expected number of correct answers is given by:
\[
E = n \times P(\text{correct}) = 72 \times 0.25
\]
Now calculating this:
\[
E = 72 \times 0.25 = 18
\]
Therefore, a student should expect to guess **18** correct answers on the test.