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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 male student chooses chocolate ice cream?

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


Sagot :

To determine the probability that a male student chooses chocolate ice cream, you need to understand and apply basic probability principles.

### Steps for Solution:
1. Identify the relevant data from the table:
- Number of male students who chose chocolate ice cream: 13
- Total number of male students: 23

2. Apply the formula for probability:
The probability [tex]\(P\)[/tex] of an event is given by the formula:
[tex]\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \][/tex]

In this case, the event is a male student choosing chocolate ice cream.

3. Calculate the probability:
Using the provided data:
[tex]\[ P(\text{male student choosing chocolate ice cream}) = \frac{\text{Number of male students choosing chocolate ice cream}}{\text{Total number of male students}} \][/tex]
Substituting the numbers:
[tex]\[ P(\text{male student choosing chocolate ice cream}) = \frac{13}{23} \][/tex]

4. Simplify the fraction (if necessary) and find the decimal representation:
[tex]\[ \frac{13}{23} \approx 0.5652173913043478 \][/tex]

Thus, the probability that a male student chooses chocolate ice cream is approximately [tex]\(0.5652\)[/tex] or [tex]\(56.52\%\)[/tex].
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