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Probability and conditional probability SAT question
Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.
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?
ExplanationShow
Choice A is correct. The total number of state parks in the state is 
. 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 
.
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.
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