1. You draw 4 cards from a standard deck of 52 cards (no jokers) and you don't replace the cards between draws. What is the likelihood that all 4 cards are 3s?
2. Three contractor are bidding on a project to build a new bridge. You believe that contractor 1 is twice as likely to win as contractor 3 and that contractor 2 is three times as likely to win as contractor 3. What are the probabilities of winning for each contractor?
3. You are at a party and while you are responsibly drinking your O'Douls Premium Non-alcoholic beer you make a bet with the random guy that happened to be standing next to you. You bet that the next person through the door to the room you two are in will be a College Graduate, Beer Drinker who is Male. Additional information: 35% of Americans are college graduates in 2017; 48% of the American population is Male; 56% of Americans drank beer in the past month.
Draw a possibility tree for your situation and answer the question: have you made a good bet (what is the likelihood of being correct?