Question

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?

Answer 1

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

Answer 2

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

Answer 3

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.

Answer 4

"The probability a business major is female"

-given: person is a business major
so B is given

Therefore I say of "female" given "business major"

Answer 5

hhhmm....I guess that makes sense.

Answer 6

Yep, these are called 'conditional probabilities;' you need to determine what the given condition is and that goes after the |.

Answer 7

Thank you!

Answer 8

You're quite welcome.