1. Doctors find that people with high cholesterol (C) almost invariably ate hamburgers (H), thus p(Hamburger Eater|C ) = 0.9. The probability of an individual having C is currently rather low, about one in 100,000. Assuming lots of people eat hamburgers i.e. p(H) = 0.5, what is the probability that someone who eats hamburgers (H) will get the disease C.

That is, find the following:

P(C | H ) = ?

2. From a deck of 52 cards, 2 cards are missing. You randomly draw a card from the deck, what is the probability that it will be a spade?