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Probability and conditional probability SAT question
Math · Problem-Solving and Data Analysis · Hard · Answer it here, explanation included.
The table below shows the distribution of US states according to whether they have a state-level sales tax and a state-level income tax.
| State sales tax | No state sales tax | |
| State income tax | 39 | 4 |
| No state income tax | 6 | 1 |
To the nearest tenth of a percent, what percent of states with a state-level sales tax do not have a state-level income tax?
ExplanationShow
Choice C is correct. The sum of the number of states with a state-level sales tax is 
. Of these states, 6 don’t have a state-level income tax. Therefore, 
, or about 13.3%, of states with a state-level sales tax don’t have a state-level income tax.
Choice A is incorrect. This is the number of states that have a state-level sales tax and no state-level income tax. Choice B is incorrect. This is the percent of states that have a state-level sales tax and no state-level income tax. Choice D is incorrect. This is the percent of states that have no state-level income tax.
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