Probability Exercises: This is the first part of the two-part exercise set 1. What is the probability that one gets a card that is both face card and a spade in the example where you draw a card from a single deck. What is the event in this experiment? 2. Repeat 1, replacing "and" with "or". 3. You deal three face cards from a shuffled deck. What is the probability that the next card dealt is a face card? 4. You roll two dice. Find the probability of getting each of the totals 2, ...,7. 5. You deal two hearts from a shuffled deck and 3 more cards of which there are two hearts and one non-heart. Find the probability that the next card will be a heart. 6. You are playing holdem and are dealt ace-king. What is the probability that the next card off the deck is either an ace or a king? 7. Write out a sentence that explains what the probability of an event means (without being circular-do not use words such as "chance", "likelyhood", "odds"). 8. The experiment is to flip 4 coins. Write out the sample space of 16 outcomes, e.g. { HHHH, HHHT, ...}. What is the explicit event corresponding to getting exactly 2 heads? What is the probability of getting exactly 2 heads? Expected Value Exercises