These are a few questions from my textbook which I am unsure of the answer I have come up with, any confirmation/help is appreciated!

(Click on the image and it will lead to image shack and then click on the image again to enlarge it)

Q1.

I picked d. This is because III implies that but you can't be alive and dead at the same time so while thus . Is my reasoning correct?

Q2.

I picked d. This is because I implies that that but you can't be sick and dead at the same time so while thus . III implies that which is not necessarily true. Thus II is the only correct choice left. Again I am unsure on my reasoning, confirmation would be appreciated!

Q3.

I am unsure of how to do this question... I am confused because if we assume the coin is a fair coin then Pr(Head) = Pr(Tail) and thus I. is true. However from the question if Ed only won 300 times out of 800 at Casino A means that and thus the coin is biased... Any ideas?

Thanks very much for any help!