Question: Deer ticks can carry both Lyme disease and human granulocytic ehrilichiosis (HGE). IN a study of ticks in the Midwest, it was found that 16% carried Lyme disease, 10% had HGE, and that 10% of the ticks that had either Lyme disease or HGE carried both diseases. (a) What is the probability P[LH] that a tick carries both Lyme disease (L) and HGE (H)? My Part: I don't know how to interpret this problem. Let me show my work thus far. P[L] = 0.16 P[H] = 0.1 Now this last part, how do I interpret this..."10% of the ticks that had either Lyme disease or HGE carried both diseases." Like this? given that the ticks had L or HGE, then the ticks that both diseases. So I would write this as: P[LH | (L U H)] = 0.1 I don't know if this is right though. Any help would be awesome, thanks! another thought I had was: P[LH|L] + P[LH|H] = 0.1 This was the first one I did, but I got a probability of something like 0.006 which seems WAY to low.