This is probably not the simplest way, but consider focusing on P(F):
P(F) = p(F and Not V) + P(F and V)
...
Hey guys, I'm having trouble with figuring this out:
What is P(V) given the following information?
P(F|V) = 0.02, P(F^c|V) = 0.98 P(F|V^c) = 0.4, P(F) = 0.2, P(F^c) = 0.8
Where I've written F^c and V^c I mean 'not F' and 'not V'.
I tried figuring it out using the probability rules, i.e.
P(V) = P(F and V) + P(not F and V)
but it seems like I don't have enough information to figure it out. Am I missing something?
Thanks.