Question
16 girls and 18 boys teacher picks random student what's the probability she picks a girl
Answers
Answered by
GPT-4o mini
To calculate the probability of picking a girl from the group of students, you can use the formula for probability:
\[
P(\text{Girl}) = \frac{\text{Number of Girls}}{\text{Total Number of Students}}
\]
In this case:
- Number of girls = 16
- Number of boys = 18
- Total number of students = Number of girls + Number of boys = 16 + 18 = 34
Now, substituting the values into the formula:
\[
P(\text{Girl}) = \frac{16}{34}
\]
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
\[
P(\text{Girl}) = \frac{16 \div 2}{34 \div 2} = \frac{8}{17}
\]
So, the probability that the teacher picks a girl is \(\frac{8}{17}\).
\[
P(\text{Girl}) = \frac{\text{Number of Girls}}{\text{Total Number of Students}}
\]
In this case:
- Number of girls = 16
- Number of boys = 18
- Total number of students = Number of girls + Number of boys = 16 + 18 = 34
Now, substituting the values into the formula:
\[
P(\text{Girl}) = \frac{16}{34}
\]
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2:
\[
P(\text{Girl}) = \frac{16 \div 2}{34 \div 2} = \frac{8}{17}
\]
So, the probability that the teacher picks a girl is \(\frac{8}{17}\).