Question the-ta

3.5 Probability & Conditional Probability - Simple probability
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The table below shows the number of state parks in a certain state that contain camping facilities and bicycle paths.

 Has bicycle pathsDoes not have bicycle paths
Has camping facilities205
Does not have camping facilities84

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?

A.

5 over 37

B.

5 over 25

C.

8 over 28

D.

5 over 9

The table below shows the number of state parks in a certain state that contain camping

Hard-difficulty · SAT Math · Probability & Conditional Probability — Simple probability. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer 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.