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 Vegetable Garden No Vegetable Garden Total Flower Garden 0 point 2 8 0 point 2 2 0 point 2 5 No Flower Garden 0 point 7 2 0 point 7 8 0 point 7 5 Total 1 point 0 1 point 0 1 point 0 Table B: Garden-Type Frequencies by Row Vegetable Garden No Vegetable Garden Total Flower Garden 0 point 5 6 0 point 4 4 1 point 0 No Flower Garden 0 point 4 8 0 point 5 2 1 point 0 Total 0 point 5 0 point 5 1 point 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?"
Answer
A
Table A, because the given condition is that the person has a vegetable garden.
B
Table B, because the given condition is that the person has a vegetable garden.
C
Table B, because the given condition is that the person has a flower garden.
D
Table A, because the given condition is that the person has a flower garden.
Explanation
The question gives the condition that the person has a flower garden. Table B shows frequencies by row, so the Flower Garden row gives the probabilities for people who have flower gardens, including the probability that they also have a vegetable garden. Therefore, use Table B; choice C correctly identifies the table and condition.
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