To determine the probability that a person who chose vanilla ice cream is male, follow these steps:
1. Identify the relevant data from the table:
- The number of males who chose vanilla ice cream: 6
- The total number of people who chose vanilla ice cream: 14
2. Understand what we need to find:
- We want the probability that a person who chose vanilla ice cream is male, which can be found using the formula of conditional probability:
[tex]\[
P(\text{Male | Vanilla}) = \frac{\text{Number of males who chose vanilla}}{\text{Total number of people who chose vanilla}}
\][/tex]
3. Plug in the numbers from the table into the formula:
[tex]\[
P(\text{Male | Vanilla}) = \frac{6}{14}
\][/tex]
4. Simplify the fraction if possible:
[tex]\[
\frac{6}{14} = \frac{3}{7}
\][/tex]
Thus, the probability that a person who chose vanilla ice cream is male is [tex]\(\frac{3}{7}\)[/tex]. Converted to a decimal, this is approximately:
[tex]\[
0.42857142857142855
\][/tex]
Given this calculation, the correct option among the provided choices is:
C. [tex]\(\frac{3}{7}\)[/tex]
