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Problem-Solving and Data Analysis / Probability and conditional probability Difficulty: Easy

A band with $45$ members has $11$ members who play saxophone. If one band member is selected at random, what is the probability of selecting a band member who plays saxophone?

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Explanation

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 $45$ band members, which is the total number of possible outcomes. It's also given that there are $11$ band members who play saxophone. Therefore, the number of favorable outcomes is $11$ . Thus, the probability of selecting a band member who plays saxophone is $StartFraction 11 Over 45 EndFraction$ .

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.