The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.

Table A: Garden-Type Frequencies by Column

A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.

Table B: Garden-Type Frequencies by Row

A 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"

Table B can be used to answer the question about the probability of having a vegetable garden, given that someone has a flower garden. It includes conditional probabilities organized by flower garden presence. Specifically, 0.56 of those with a flower garden also have a vegetable garden.
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Answered by AvaCharlotteMiller | 2025-07-07

To determine which table can be used to answer the question, "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?", we need to identify the table that provides conditional probabilities based on having a flower garden.
Let's break down what each table represents:
Table A: Garden-Type Frequencies by Column

This table displays conditional probabilities in columns, where each column represents either having or not having a vegetable garden.
For a vegetable garden, it gives the relative frequencies of having a flower garden or not.
For a question of someone having a flower garden, this table shows the likelihood of having a vegetable garden in the flower garden row, but it is conditioned on the presence or absence of a vegetable garden.

Table B: Garden-Type Frequencies by Row

This table displays conditional probabilities in rows, where each row represents either having or not having a flower garden.
For a flower garden, it gives the relative frequencies of having a vegetable garden or not.
This table directly addresses the question since it provides the probability of also having a vegetable garden if a flower garden is present.

The question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?" requires us to first fix the flower garden condition and observe how many have a vegetable garden.
The probability that a household with a flower garden also has a vegetable garden can be read directly from the first row under the "vegetable garden" column in Table B : P ( Vegetable Garden ∣ Flower Garden ) = 0.56.
Therefore, Table B: Garden-Type Frequencies by Row can be used to answer the question, as it provides the conditional probabilities given a flower garden.

Answered by AvaCharlotteMiller | 2025-07-07