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Probability and conditional probability SAT question
Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.
| Type of car | Priced at no more than $25,000 |
Priced greater than $25,000 |
Total |
| Nonhybrid | 5 | 3 | 8 |
| Hybrid | 2 | 4 | 6 |
| Total | 7 | 7 | 14 |
ExplanationShow
Choice A is correct. It’s given that there are 2 hybrid cars priced at no more than $25,000. It’s also given that there are 14 cars total for sale. Therefore, the probability of selecting a hybrid priced at no more than $25,000 when one car is chosen at random is 
.
Choice B is incorrect. This is the probability of selecting a hybrid car priced greater than $25,000 when choosing one car at random. Choice C is incorrect. This is the probability, when choosing randomly from only the hybrid cars, of selecting one priced at no more than $25,000. Choice D is incorrect. This is the probability of selecting a hybrid car when selecting at random from only the cars priced greater than $25,000.
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