To solve the problem of determining which table should be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?" and to calculate this probability, we need to follow a detailed, step-by-step process:
1. Identify the Relevant Table:
- The question specifies that we are interested in cases where the person already has a flower garden. Therefore, we need to use Table B, which focuses on the condition that a person has a flower garden.
2. Extract Data from Table B:
- From the table, we observe the values for the row labeled "Flower Garden":
- Number of people with both a flower garden and a vegetable garden: 56
- Number of people with a flower garden but no vegetable garden: 44
- These numbers represent frequencies of occurrences.
3. Calculate the Total Number of People with a Flower Garden:
- To find this, we sum the number of people with a flower garden and a vegetable garden (56) and those with a flower garden but no vegetable garden (44):
[tex]\[
\text{Total with a flower garden} = 56 + 44 = 100
\][/tex]
4. Calculate the Probability:
- The probability that someone has a vegetable garden given they have a flower garden is calculated by dividing the number of people with both a flower garden and a vegetable garden by the total number of people with a flower garden:
[tex]\[
\text{Probability} = \frac{\text{Number with both flower and vegetable garden}}{\text{Total with a flower garden}} = \frac{56}{100} = 0.56
\][/tex]
5. Summary:
- The table used to answer the question is Table B since it is conditioned on people having a flower garden.
- The total number of people with a flower garden is 100.
- The probability that someone with a flower garden also has a vegetable garden is 0.56 (or 56%).
To directly answer the options provided in the question:
- The correct option is: _Table B because the given condition is that the person has a flower garden._
