A=student is female
B=student is majoring in Business
The probability a business major is female
P(B|A)
The probability a female student is majoring in business
P(A|B)
correct?

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Ermm, I think those are backwards, actually.
B|A is read, "of B given A."

elaborate. My book agrees with you, but I still don't understand why I'm wrong.

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