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Problem-Solving and Data Analysis / Probability and conditional probability Difficulty: Medium

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

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

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?

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Explanation

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.