![]() ![]() I sought to find the expected value of any given roll, compare this to the risk associated with any given roll to come up with a risk:reward ratio.Īfter finding the raw expected value of a given roll, I also factored in the chance that it may clear the board and give the player another roll of 6 dice. However, I do feel very confident that my results are at the very least close. I’m not guaranteeing that I haven’t made a mistake along the way, I’m almost sure that I’ve missed something. It got a little tricky when it came to scoring three pairs, but I managed to do this as well. I enumerated every single roll combination and wrote a function to calculate the scores. I've done a bit of work in excel to come up with some expected values of farkle, but haven't written a simulator (yet). Since it is a folk game, players are free to agree upon whatever scores they choose for whatever combinations they choose to recognize. These are the variations listed in the above-cited descriptions of farkle scoring, but further variations presumably exist. Like the standard combinations, any of these variant combinations must be achieved in a single throw. In addition, some players score one or more combinations of dice beyond the standard ones. For example, the commercially marketed game of Pocket Farkel differs in that three 1's are scored as 300 rather than 1000. While the standard rules described above are widely used, even they are not universal. Since farkle is a folk game, variant rules are used in different playing communities. ![]() I've tried a few times to make a massive series of if/then statements or lookups, but it is making my head hurt. Based upon a certain strategy (no 5's, only 1's, straights etc.), is it possible to use Excel to analyze my strategy to see if it makes sense or not. So, a four of a kind is worth twice as much as a three of a kind, and a five of a kind is worth twice as much as a four of a kind and so on (e.g. You can double the score of three of a kind by adding more of the same kind. Three pairs are worth 750 points, a straight with all six dice is worth 1,500 points. Three of a kind are worth 100 times the number on the die or 1,000 in the case of a 1 (e.g. ScoringĮvery 1 can be scored for 100 points each, every 5 for 50 points each. when you score 0 points in three consecutive rounds, you lose points. If you score all six dice, you re-roll all of them and keep adding to your score for the round. If you bank or get a Farkle, you pass the turn to the next player. If you roll again but cannot score any of the newly rolled dice, you get a Farkle and all points for the round are lost. When you continue to roll the dice you can only score the dice you just rolled and you cannot combine them with those scored before. ![]() ![]() You can also continue rolling the dice you have left. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |