To determine the probability that a randomly selected student from the survey is a female and likes peas, we follow these steps:
1. Identify the numbers involved:
- The total number of students in the survey is [tex]\( 200 \)[/tex].
- The number of female students who like peas is [tex]\( 64 \)[/tex].
2. Set up the probability formula:
The probability [tex]\( P \)[/tex] of selecting a female student who likes peas is given by:
[tex]\[
P = \frac{\text{Number of female students who like peas}}{\text{Total number of students}}
\][/tex]
3. Substitute the numbers:
[tex]\[
P = \frac{64}{200}
\][/tex]
4. Convert the fraction to a percentage:
[tex]\[
P = \frac{64}{200} \times 100\%
\][/tex]
5. Calculate the result:
[tex]\[
P = 32\%
\][/tex]
Therefore, the probability that a randomly chosen student is female and likes peas is [tex]\( 32\% \)[/tex].
Hence, the correct answer is:
A. [tex]\( 32\% \)[/tex]
