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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Probability and conditional probability
Difficulty
Medium
ID: 0301c5dc
Modded SAT Question Bank by Abdullah Mallik

The table below shows the number of state parks in a certain state that contain camping facilities and bicycle paths.

  Has bicycle paths Does not have bicycle paths
Has camping facilities 20 5
Does not have camping facilities 8 4

If one of these state parks is selected at random, what is the probability that it has camping facilities but does not have bicycle paths?

  1. 5 over 37

  2. 5 over 25

  3. 8 over 28

  4. 5 over 9

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Correct Answer: A
Rationale

Choice A is correct. The total number of state parks in the state is 20, plus 5, plus 8, plus 4, equals 37. According to the table, 5 of these have camping facilities but not bicycle paths. Therefore, if a state park is selected at random, the probability that it has camping facilities but not bicycle paths is 5 over 37.

Choice B is incorrect. This is the probability that a state park selected at random from the state parks with camping facilities does not have bicycle paths. Choice C is incorrect. This is the probability that a state park selected at random from the state parks with bicycle paths does not have camping facilities. Choice D is incorrect. This is the probability that a state park selected at random from the state parks without bicycle paths does have camping facilities.

 

Question Difficulty: Medium
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