Considering the definition of probability, 12 of the 48 students surveyed were in favor of the new dress code.
<h3>Definition of probability</h3>
Probability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
P(A)=number of favorable events÷ number of total events
<h3>Probability that students are in favor of the new dress code</h3>
In this case, you know:
- Total number of middle school students = 900 (number of possible cases)
- The number of students are in favor of the new dress code = 225 (number of favorable cases)
Replacing in the definition of probability:
P(A)=225 students÷ 900 students
Solving:
<u><em>P(A)= 0.25</em></u>
Expressed as a percentage:
<u><em>P(A)= 25%</em></u>
<h3>Number of the 48 students surveyed were that in favor of the new dress code</h3>
In this case, you know:
- Total number of middle school students = 48 (number of possible cases)
- 25% students are in favor of the new dress code (P(A)= 25%= 0.25)
Replacing in the definition of probability:
0.25=students in favor of the new dress code÷ 48 students
Solving:
students in favor of the new dress code= 0.25×48 students
<u><em>students in favor of the new dress code= 12 students</em></u>
Finally, 12 of the 48 students surveyed were in favor of the new dress code.
Learn more about probability:
brainly.com/question/3283947
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