Let's solve this step-by-step:
1. Identify the relevant numbers from the survey table:
- The number of female students who like peas is 64.
- The total number of students surveyed is 200.
2. Calculate the probability that a randomly selected student is female and likes peas:
- Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
- The favorable outcome here is being female and liking peas, which is 64.
- The total number of possible outcomes is the total number of students, which is 200.
3. Find the probability in terms of percentage:
- The probability [tex]\( P \)[/tex] can be calculated as:
[tex]\[
P = \frac{\text{Number of females who like peas}}{\text{Total number of students}} \times 100\%
\][/tex]
- Plugging in the numbers, we get:
[tex]\[
P = \frac{64}{200} \times 100\%
\][/tex]
4. Perform the division and multiplication to find the exact percentage:
- First, perform the division:
[tex]\[
\frac{64}{200} = 0.32
\][/tex]
- Then, multiply by 100 to convert to a percentage:
[tex]\[
0.32 \times 100\% = 32\%
\][/tex]
Thus, the probability that a randomly selected student is female and likes peas is [tex]\( 32\% \)[/tex].
Therefore, the correct answer is:
B. [tex]\(32\%\)[/tex]
