Statistics 1 help!?!

"If P(A) = 1/3, P(B) = 3/5 and P(A | B) = 1/2, what is P(B | A) ?"

I was given this as homework and I'm confused as how to solve it (as in, I have no idea)? Would greatly appreciate it if someone could point out the process or any formulas.

"If P(A) = 1/3, P(B) = 3/5 and P(A | B) = 1/2, what is P(B | A) ?"

I was given this as homework and I'm confused as how to solve it (as in, I have no idea)? Would greatly appreciate it if someone could point out the process or any formulas.

The formula is given by P(A|B)*P(B) = P(B|A)*P(A)

This is because P(A|B)*P(B) represents the probability of A and B occurring.

Also P(B|A)*P(A) similarly represents the probability of A and B occurring.

Thus,

P(B|A) = (1/2)*(3/5)/(1/3)

Thank you!!! *glomps*