Question
All the freshmen at Hillsboro High School must sign up for one science class, and the registration results so far have been recorded.
biology 77
physics 5
chemistry 4
earth science 46
What is the experimental probability that the next freshman will register for earth science?
Write your answer as a fraction or whole number.
P(earth science)=
biology 77
physics 5
chemistry 4
earth science 46
What is the experimental probability that the next freshman will register for earth science?
Write your answer as a fraction or whole number.
P(earth science)=
Answers
GPT-4o mini
To find the experimental probability that the next freshman will register for earth science, we first need to find the total number of students who have registered for science classes.
We can calculate the total by adding the number of students registered for each science class:
\[
\text{Total} = \text{biology} + \text{physics} + \text{chemistry} + \text{earth science}
\]
\[
\text{Total} = 77 + 5 + 4 + 46 = 132
\]
Next, we find the number of students registered for earth science, which is 46.
The experimental probability \( P(\text{earth science}) \) is given by the ratio of the number of students registered for earth science to the total number of students:
\[
P(\text{earth science}) = \frac{\text{Number of earth science registrations}}{\text{Total registrations}} = \frac{46}{132}
\]
Now, we can simplify this fraction:
The greatest common divisor (GCD) of 46 and 132 is 2. Dividing both the numerator and denominator by 2, we get:
\[
P(\text{earth science}) = \frac{46 \div 2}{132 \div 2} = \frac{23}{66}
\]
Thus, the experimental probability that the next freshman will register for earth science is
\[
\boxed{\frac{23}{66}}.
\]
We can calculate the total by adding the number of students registered for each science class:
\[
\text{Total} = \text{biology} + \text{physics} + \text{chemistry} + \text{earth science}
\]
\[
\text{Total} = 77 + 5 + 4 + 46 = 132
\]
Next, we find the number of students registered for earth science, which is 46.
The experimental probability \( P(\text{earth science}) \) is given by the ratio of the number of students registered for earth science to the total number of students:
\[
P(\text{earth science}) = \frac{\text{Number of earth science registrations}}{\text{Total registrations}} = \frac{46}{132}
\]
Now, we can simplify this fraction:
The greatest common divisor (GCD) of 46 and 132 is 2. Dividing both the numerator and denominator by 2, we get:
\[
P(\text{earth science}) = \frac{46 \div 2}{132 \div 2} = \frac{23}{66}
\]
Thus, the experimental probability that the next freshman will register for earth science is
\[
\boxed{\frac{23}{66}}.
\]