Explanation
Correct answer: C.
Choice C is correct. If a tree from one of these rows is selected at random, the probability of selecting a maple tree, given that the tree is feet or taller, is equal to the number of maple trees that are feet or taller divided by the total number of trees that are feet or taller. It's given that there are rows of birch trees, and each row of birch trees has trees that are feet or taller. This means that there are a total of , or , birch trees that are feet or taller. It's given that there are rows of maple trees, and each row of maple trees has trees that are feet or taller. This means that there are a total of , or , maple trees that are feet or taller. It follows that there are a total of , or , trees that are feet or taller. Therefore, the probability of selecting a maple tree, given that the tree is feet or taller, is , or .
Desmos solution:
Note: The numerator counts maple trees ≥20 ft (5 rows × 9), and the denominator counts all trees ≥20 ft (6×8 birch + 5×9 maple).
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.