A = student is female B = student is majoring in business
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The probability the student is female and is majoring in business.
P(A and B)
The probability the student is female and is not majoring in business.
P(A and Bc)
he probability a business major is female.
P(A | B)
The probability the student is male or is majoring in business
P(A^c or B)
The probability a female student is majoring in business.
P(B | A)