Question a-grov
A grove has rows of birch trees and rows of maple trees. Each row of birch trees has trees feet or taller and trees shorter than feet. Each row of maple trees has trees feet or taller and trees shorter than feet. A tree from one of these rows will be selected at random. What is the probability of selecting a maple tree, given that the tree is feet or taller?
A grove has 6 rows of birch trees and 5 rows of maple trees. Each row
Hard-difficulty · SAT Math · Probability & Conditional Probability — Conditional probability formula. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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 .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.
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