You are visiting Las Vegas and would like to come home with more money than you arrived with. Use your knowledge of probability to answer the following questions: (Show all work, not just answers)
A) What is the probability of drawing three aces in a row without replacement from a deck of 52 ordinary playing cards?
B) What is the probability of rolling two fair dice and obtaining a sum of 5?
C) What is the probability of drawing either a jack or a heart from a full deck of 52 cards? (Hint: remember that these two criteria are NOT mutually exclusive. One of the hearts will be a jack of hearts, so you will need to subtract out the overlap; also, FYI, there are 13 hearts and 4 jacks in a deck of cards.