# Probability strategy, these are all the skills you

Probability of the game Yahtzee Luck, chance, and strategy, these are all the skills you will need to have when you play the popular dice game, Yahtzee. Yahtzee is usually played in a group but you can also play it by yourself (I’m pretty sure that the only way that you can play by yourself is online) . I think that the game of Yahtzee is a little complicated not just to play but to understand the rules too, but it is also quite fun to play. Yahtzee is a game that was created by Milton Bradley which is now owned by Hasbro. The objective of the game is to score as many points as possible. This game is played a total of 13 rounds. In each round you play you have to roll 5 dice and score it in one out of the 13 categories. You can roll the dice up to three times in each category. Sometimes you will have to stay with zeros if you haven’t scored in a category by the end of the game. Each category has different determination of scores. The game is ended once you have scored in all 13 categories. Like i said earlier you will have five dice to roll. You will get a combination of different numbers, you either choose to keep that combination or roll again the numbers you didn’t like. You keep doing that until all 13 categories are filled up. The numbers you roll will determine how many points you earn.So now let me show you how to enter your scores into the yahtzee score card.  The Yahtzee score card is divided into two parts, the upper section and the lower section. Let’s start with the upper section. The upper section has six categories, which the are the “Aces, Twos, Threes, Fours, Fives, and Sixes”. The Aces are ones and the rest you might have already figured it out. Now the question is “how do you score in them?”. Let’s say that you rolled your dice and you rolled a 1,6,4,4,and a 2. If you add the fours together you will have 8. Now this is the part where you will have to think. If you put your score in the aces category you will only get one point because you only scored one one. If you put it in the sixes category you will get six points since you only rolled one six, but now if you put it in the fours category you will get 8 points since you rolled two fours. I think that explains the upper section and how to score. So this game is really just luck and thinking about what move would be better for you. Now let’s move on to the lower section of the Yahtzee score card. This section has a total of seven categories. The categories are “3 of a kind, 4 of a kind, full house, small straight, large straight, Yahtzee and, chance”. The way that you score in these categories are kind of different from the upper section so let me explain. In the categories of 3 and 4 of a kind you just have to roll 3 or four of the same number on the three rolls you have. In the category of full house you have to score a pair of the same numbers and a 3 of a kind at the same time, in small straight you have to score a sequence of 4 numbers and large straight you have to score a sequence of 5 numbers. Now scoring a yahtzee is quite difficult, you have to score a five of a kind. And the last category is chance, in this category the way to score in it is to score any dice, no combos of numbers are necessary.Well since you now know what a yahtzee is (five of a kind) have you wondered what the probability to get one is? I actually tried to figure it out myself. I didn’t exactly play the game but i just rolled the dice. The little change was that i just rerolled all of the dice again, i didnt keep any. I repeated this like around 50 times. I wasn’t very successful in what i was trying to do, so i decided to just search for the probability.I found this link (https://www.thoughtco.com/probability-of-rolling-a-yahtzee-3126593) where it tells me all about the probability of the game yahtzee. So what this page told me was how to find the probability of the game Yahtzee and a way to find that is by figuring out what the chance of rolling a 3 or any other number is with just one dice and just one roll. So that is ? since there is only one three in a dice and a dice has 6 faces. The next thing you need to do is find out what chance do you have of rolling five times 3. That must be a little difficult. But the way to find that is by multiplying, (?)x(?)x(?)x(?)x(?) which it is equal to 1/7776. That is also the probability of rolling a five in a kind with any other number. And now since there are 6 different numbers on a die we have to multiply 1/7776 times 6 and that is equal to 1/1296  and if we simplify that it is 0.08%. That is the probability of rolling a yahtzee in the first roll.Now rolling a yahtzee on the second roll might be a little different probability than the first roll. So let’s say that on the first roll we rolled a four in a kind. And since we have a (?) chance of rolling a 3 that also means that we have a (?) chance of rolling a different number. To find the probability of rolling the other die to make a yahtzee we will have to multiply (?)x(?)x(?)x(?)x(?) that equals 5/7776. There is a chance of rolling a number that is not matching with the other numbers. There is a 5 ways that the die can be rolled and it will not match the four in a kind. They did a little multiplication to find the probability of rolling four in a kind on the first roll, it is 25/7776. Then they multiplied 25/7776 by ? =25/46656. That is the probability of rolling a yahtzee on the second roll. It can also be simplified down to 0.32%. But since that is not the only way to roll a yahtzee with in the second roll, if you roll a three of a kind on the first roll then the probability of rolling a two of a kind in the second roll is 0.54%. There are also other probabilities of rolling a yahtzee on the second roll. Finding the probability of rolling a yahtzee on the third roll is different from the first and second roll. You have to do more multiplying. But just to shorten things up, the probability of rolling a yahtzee on the third roll is 0.27%. There is other probabilities of rolling a yahtzee on the third roll too, since you can have different variations on the three rolls you have.Finding the probability of the game yahtzee involves way much more math than shown here. I hope that one day you can enjoy a good game a yahtzee.and if you ever roll a yahtzee, then you will know what the probability of it!