Your Assignment 1. In a group of 4 (less than 4 loses points), turning in only one project with names listed alphabetically (by last name), complete the following: A. How many 5 card poker hands are there? B. What is the probability of getting each of the hands ranked 1-8 below. You must show all your computations, carefully explained!! Take work to 2 decimal places. Hint: There are many places where this information is available, so you can check your work. The only thing to be careful of is that most sources will not give you the exact value, just an estimate (which is good enough for most card players). C. Explain why the poker hands are ranked the way they are. D. Play ten rounds of straight poker with your group, recording each hand, and noting the wining hand. Ranking of Poker Hands The following are the rankings of hands in straight (stud) poker. In straight poker, 5 cards are dealt from a standard deck of 52 cards (no jokers, and nothing wild), and these five cards make up the hand. A hand beats anything below it in the following ranking. For example, a full house beats three of a kind. Aces are always high, so that the cards are counted 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. In particular, a straight (see number 6 below) can not start with an ace. 1. Royal Flush The 10, J, Q, K, A all of the same suit. 2. Straight Flush All five cards of the same suit and in sequence, for example the 6, 7, 8, 9, 10 of diamonds. 3. Four of a Kind Four cards all with the same value, for example four jacks. It doesn't matter what the fifth card is. 4. Full House Three cards of one value, and two cards of another, for example three queens and two fours. 5. Flush Five cards all of the same suit, but not all in sequence, for example the 2, 4, 5, 9, K, all of hearts. 6. Straight Five cards in sequence, but not all of the same suit. 7. Three of a Kind Three cards all with the same value, for example, 7, 7, 7, 2, Q. The other two cards can be anything as long as they are not a pair (otherwise you would have a full house), or match one of the triple (or you would have four of a kind). 8. Two Pair Two pairs of cards with the same value, for example 8, 8, A, A, 2. The fifth card can be anything as long as it doesn't match one of the pairs (or you would have a full house). Also, the two pairs obviously can't have the same value or you would have four of a kind. 9. One Pair One pair of cards with the same value. The other three cards can be anything as long as they don't make this into a higher ranking hand. 10. Everything Else These are just ranked by the highest valued card in the hand, for example A, K, 9, 6, 3 beats K, 8, 7, 3, 2, which beats K, 8, 5, 4, 2, etc. List the names of your group members (alphabetically and include an approximate % of the workload completed by each memberusually 25%). Remember, groups without 4 members must have special permission or you will lose points!

1. How many 5 card poker hands are there? 2. List the probability for each hand (use combination notation!!! & also calculate) A. Royal Flush . B. Straight Flush C. Four of a Kind D. Full House E. Flush F. Straight G. Three of a Kind H. Two Pair I. One Pair J. Everything Else