To find the probability that a female student chose strawberry ice cream, we can follow these steps:
1. Identify the number of female students who chose strawberry ice cream: By looking at the given table, we see that the number of female students who chose strawberry ice cream is 9.
2. Determine the total number of female students: According to the table, there are a total of 21 female students.
3. Calculate the probability: The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the favorable outcome is a female student choosing strawberry ice cream, and the total possible outcomes are the total number of female students.
So, the probability [tex]\( P \)[/tex] is calculated as:
[tex]\[ P(\text{female student choosing strawberry ice cream}) = \frac{\text{Number of female students who chose strawberry ice cream}}{\text{Total number of female students}} = \frac{9}{21} \][/tex]
4. Simplify the fraction:
Upon simplifying [tex]\(\frac{9}{21}\)[/tex], we divide the numerator and the denominator by their greatest common divisor, which is 3:
[tex]\[ \frac{9 \div 3}{21 \div 3} = \frac{3}{7} \][/tex]
Thus, the probability that a female student chose strawberry ice cream is [tex]\(\frac{3}{7}\)[/tex].
Therefore, the correct answer is:
C. [tex]\(\frac{3}{7}\)[/tex]
