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Probability and conditional probability SAT question
Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.
A band with members has members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?
ExplanationShow
Choice B is correct. The probability of an event occurring is the ratio of the number of favorable outcomes to the total number of possible outcomes. It’s given that there are band members, which is the total number of possible outcomes. It's also given that there are band members who play saxophone. Therefore, the number of favorable outcomes is . Thus, the probability of selecting a band member who plays saxophone is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect. This is the probability of selecting a band member who does not play saxophone.
Choice D is incorrect and may result from conceptual or calculation errors.
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