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In a class of 27 students, 18 are female and 8 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student chosen randomly from the class has an A?

 Apr 28, 2022
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In a class of 27 students, 18 are female and 8 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student chosen randomly from the class has an A?  

 

Try it this way:  In a class of 27 students, 18 are female and 8 have an A in the class.  

 

Since the second sentence specifies that 2 females have an A, I conclude that the ambiguous phrase "18 are female and 8 have an A in the class" must mean that it is 8 out of the whole class, not just of the 18 females.  That means the likelihood is 8 out of 27, written 8/27 or 0.296.  

 Apr 28, 2022

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