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The local high school is hosting an ice cream social for new students. They record the ice cream choices of the students throughout the event.

What is the probability that a female student chose strawberry ice cream?

[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline & \text{Vanilla} & \text{Strawberry} & \text{Chocolate} & \text{Total} \\
\hline \text{Male} & 6 & 4 & 13 & 23 \\
\hline \text{Female} & 8 & 9 & 4 & 21 \\
\hline \text{Total} & 14 & 13 & 17 & 44 \\
\hline
\end{array}
\][/tex]

A. [tex]\(\frac{4}{13}\)[/tex]
B. [tex]\(\frac{4}{7}\)[/tex]
C. [tex]\(\frac{3}{7}\)[/tex]
D. [tex]\(\frac{9}{13}\)[/tex]

Sagot :

GinnyAnswer
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]
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