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?\
o table a, because the given condition is that the person has a flower garden.
o table a, because the given condition is that the person has a flower garden.
o table b, because the given condition is that the person has a vegetable garden
o table b, because the given condition is that the person has a flower garden
o table b, because the given condition is that the person has a vegetable garden.

Explanation:

Step1: Recall conditional - probability concept

Conditional probability $P(A|B)$ is the probability of event $A$ occurring given that event $B$ has occurred. Here, we want to find the probability of having a vegetable garden given that a person has a flower garden. We need to look at the row corresponding to "Flower Garden" in the table.

Step2: Analyze the tables

Table B has rows for "Flower Garden" and "No Flower Garden". When we want to find the probability of having a vegetable garden given a flower - garden, we use the row for "Flower Garden" in Table B. The value in the "Vegetable Garden" column of the "Flower Garden" row gives the probability of having a vegetable garden among those who have a flower garden.

Answer:

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