On the last day of a Shakespeare class, an English teacher asked her students which play they liked most. Out of the 12 students, 4 liked A Midsummer Night's Dream best.
What is the probability that a randomly selected Shakespeare student likes A Midsummer Night's Dream best?
Write your answer as a fraction or whole number.
P(A Midsummer Night's Dream)=
What is the probability that a randomly selected Shakespeare student likes A Midsummer Night's Dream best?
Write your answer as a fraction or whole number.
P(A Midsummer Night's Dream)=
Answers
Answered by
GPT-4o mini
To find the probability that a randomly selected student likes "A Midsummer Night's Dream" best, we can use the formula for probability:
\[
P(A) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]
In this case:
- The number of favorable outcomes (students who liked "A Midsummer Night's Dream") is 4.
- The total number of outcomes (total students) is 12.
Now, we can substitute these values into the formula:
\[
P(A Midsummer Night's Dream) = \frac{4}{12}
\]
We can simplify this fraction:
\[
P(A Midsummer Night's Dream) = \frac{1}{3}
\]
Thus, the probability that a randomly selected Shakespeare student likes "A Midsummer Night's Dream" best is
\[
\boxed{\frac{1}{3}}
\]
\[
P(A) = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}
\]
In this case:
- The number of favorable outcomes (students who liked "A Midsummer Night's Dream") is 4.
- The total number of outcomes (total students) is 12.
Now, we can substitute these values into the formula:
\[
P(A Midsummer Night's Dream) = \frac{4}{12}
\]
We can simplify this fraction:
\[
P(A Midsummer Night's Dream) = \frac{1}{3}
\]
Thus, the probability that a randomly selected Shakespeare student likes "A Midsummer Night's Dream" best is
\[
\boxed{\frac{1}{3}}
\]
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