Question

table b: garden - type frequencies by row
table b: garden - type frequencies by row

	vegetable garden	no vegetable garden	total
no flower garden	0.48	0.52	1.0
total	0.5	0.5	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 a, because the given condition is that the person has a flower garden.
• table a, because the given condition is that the person has a vegetable garden.
• table b, because the given condition is that the person has a flower garden.
• table b, because the given condition is that the person has a vegetable garden.

Explanation:

To determine the probability that someone with a flower garden also has a vegetable garden, we need a table that provides frequencies conditional on having a flower garden. Table B has a row for "Flower Garden" with the relevant conditional frequencies (0.56 for Vegetable Garden and 0.44 for No Vegetable Garden). The given condition is having a flower garden, so we look at the row corresponding to "Flower Garden" in Table B. The other options either misidentify the condition (relating to vegetable garden instead of flower garden) or the wrong table (Table A is not relevant here as we need the flower garden row).

Answer:

C. Table B, because the given condition is that the person has a flower garden.