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?

For "The probability a business major is female" - you're looking for the probability of being female. That the person is a business major is already given. So, P (A|B)

For "The probability a female student is majoring in business" - you're looking for the probability of being majoring in business. That the person is a female is already given. So, P (B|A)