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Probability and conditional probability SAT question
Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.
| Voice type | Number of singers |
| Countertenor | 4 |
| Tenor | 6 |
| Baritone | 10 |
| Bass | 5 |
A total of 25 men registered for singing lessons. The frequency table shows how many of these singers have certain voice types. If one of these singers is selected at random, what is the probability he is a baritone?
ExplanationShow
Choice B is correct. This probability is calculated by dividing the number of baritone singers by the total number of men registered for singing lessons. It’s given that a total of 25 men registered for singing lessons and that there are 10 baritones. Therefore, the probability of selecting a baritone from this group at random is 
, which is equivalent to 0.40.
Choice A is incorrect. This would be the probability of selecting a baritone at random if there were 100 total men who registered for singing lessons. Choice C is incorrect. This is the probability of selecting a singer at random who isn’t a baritone. Choice D is incorrect. This would be the probability of selecting a baritone at random if there were 15 total men registered for singing lessons.
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