Hey all!

GIVEN:

P(A|B) = 0.8

P(B|A) = 0.5

P(AuB) = 0.9

The question:

Find P(A) and P(B).

My attempt:

I've done many questions like this, however they have some substantial data in them and it's easy to get the general feel on how to solve them. This question however I cannot solve at all.

My biggest problem is that I do not understand what to do with P(AuB) if I dont know weather P(A) and P(B) are independent events; P(AuB) = P(A)*P(B). How do I solve this without that assumption? I have no laws about it in my book and the three I do have just gets me in a circle and back to nothing. Please help!