What is Yahtzee? How to play Yahtzee for beginners.

Recently, the gambling enthusiasts in Vietnam have been very interested in Yahtzee.

Playing Yahtzee to test luck, seeking wonderful emotions in the dice.

Let’s explore this game and who knows, it might be your true love every time you visit the casino.

What is Yahtzee?

Yahtzee is a gambling game where the outcome is determined by chance as well as the player’s strategy. The game starts with rolling 5 dice.

After the first roll, players can choose to re-roll any number of dice, with a maximum of three rolls in one turn.

• After these three rolls, the results of the dice will be entered into the score sheet.
• This score sheet has many categories, and each category will satisfy different combinations of the dice.
• However, the hardest category to fill in is Yahtzee, which only occurs when the player rolls five of a kind.
• And a Yahtzee is not guaranteed, as well as being very complex compared to finding the probability of two or three dice.
  But there are also many strategies to get five matching dice in 3 rolls.

You can calculate the probability of a Yahtzee by breaking it down into many cases and then excluding them.

The cases can be listed as follows:

Case of one roll

This is the easiest case to consider and will receive Yahtzee on the first roll.

The probability of rolling a Yahtzee is five of a kind, then it will expand to calculate the probability of any Yahtzee.

The probability of rolling a two is ⅙, each die will have an independent result from the others.

To roll five twos, the probability will be: 1/7776 = (1/6) x (1/6) x (1/6) x (1/6).

To roll a five of any number is 1/7776.

Since there are 6 different numbers on a die, this probability will be multiplied by 6 to find the result.

Therefore, the probability of a Yahtzee on the first roll is 0.08%.

Case of two rolls

If the outcome differs from five of a kind on the first roll, you will proceed to re-roll some of your dice to achieve a Yahtzee.

For example, if on the first roll we get four of a kind, we will re-roll the unmatched die.

In the second roll, you will achieve a Yahtzee.

How to calculate the probability of Yahtzee x2 times

Here are some formulas that can be applied as tips for playing Yahtzee.

Probability of rolling five x2 times

With the first roll, we have four twos. Since the probability is 1/6 for rolling a two, 5/6 for not rolling a two.

Therefore, we will multiply as follows: (1/6) x (1/6) x (1/6) x (1/6) x (5/6) = 5/7776.

In the five dice rolled, there can be one die that is not a two.

At that time, we will use the combination formula for C (5, 1) = 5. Therefore, there are many cases of rolling 4 pairs together and the result is not a two.

After multiplying, the probability of rolling exactly four twos on the first roll will be 25/7776.

For the second roll, we need to calculate the probability of rolling one two, which is 1/6.

The probability of getting a Yahtzee in two rolls as described above is 25/46656.

On a six-sided die, to find the probability of any Yahtzee, you multiply the probability by 6: 25/46656 x 6 = 0.32%.

The methods above are not the only ways to roll a Yahtzee with two rolls.

The probabilities above can also be found using the following methods

Roll three identical dice and two matching dice on the second roll.

The probability this time is calculated as 6 x C(5, 3) x (1/36) x (25/7776) = 0.54%.

You can roll a pair and on the second roll with 3 matching dice.

The probability will be calculated as 6 x C(5, 2) x (1/216) x (100/7776) = 0.36%.

You can also roll five different dice, the probability of this is calculated as follows:

(6! / 7776) x (1/1296) = 0.01%.

Case of three rolls

This is a very complex case to calculate a Yahtzee.

The probability will be calculated as follows:

♦️ To roll four of a kind: 6 x C(5, 4) x (5/6) x (1/6) x (5/7776) = 0.27%.

♦️ The probability of rolling three of a kind, matching the last pair: 6 x C(5, 3) x (25/7776) x (1/36) x (25/36) = 0.37%.

♦️ The probability of rolling a matching pair, matching three of a kind on the third roll: 6 x (C(5, 2) x (1/216) x (100/7776) x (125/216) = 0.21%.

♦️ The probability that each die does not match, combining four of a kind on the third roll: 6 x C(5, 3) x C(2, 1) x (25/7776) x (5/36) x (1/6) = 0.89%.

♦️ The probability of rolling a pair that also matches a pair on the next roll, matching the fifth die in the third pair: 6 x C(5, 2) x (100/7776) x (5/216) x C(3, 2) x (1/6) = 0.89%.

♦️ The probability of rolling a pair that matches an additional die on the next roll while also matching the last two dice in the third roll: 6 x C(5, 2) x (100/7776) x C(3, 1) x (25/216) x (1/36) = 0.74%.

♦️ The probability of a matching die and a different die matching on the second roll and three on the third roll: (6! / 7776) x C(4, 1) x (100/1296) x (1/216) = 0.01%.

♦️ The probability that one type and three types match on the second and third rolls: (6! / 7776) x C(4, 3) x (5/1296) x (1/6) = 0.02%.

♦️ The probability of one type, a pair matching on the second roll and with another pair on the third roll: (6! / 7776) x C(4, 2) x (1/36) x (25/1296) = 0.03%.

Online Yahtzee Rules

Below are the basic rules you should refer to for convenience while playing.

♦️ Points will be calculated by the total of the rolled dice in the order of 1, 2, 3, 4, 5, 6.
For example, with the result of 5 dice being 1, 2, 1, 4, 4, the points will be calculated as “Fours”.
The points will be calculated as 4 + 4 = 8.

♦️ “Pair” when the player calculates the total of the highest pair.
For example, if the roll results are 3, 3, 3, 4, 4, the result of the highest pair at this time is 4 + 4 = 8.

♦️ Conclusion “two pairs means that with 2 pairs, the score is the total of 4 dice, if not, it means 0 points.
For example, the result of the roll is 1,1,2,3,4, then the two pair score is calculated as 1 + 2 + 1 + 3 + 3 + 8.

♦️ Three of a kind: With 3 dice having the same value, the score will be the sum of those 3 values.

If not, it means 0 points. For example: The result of the roll is 3,3,3,4,5, then the score will be calculated as 3+3+3 = 9.

♦️ Four of a kind rule: 4 dice with the same value will have a score equal to the sum of those 4 values. If there is no value, it will be 0 points.

♦️ Small straight: If the result of the dice roll is 1,2,3,4,5, then the score will be 15 points; otherwise, the score will be 0 points.

♦️ Large straight: For example, if the result of the dice roll is 2,3,4,5,6, then the score will be 20 points; otherwise, it will be 0 points.

♦️ Full house: If you roll a set of 2 and a set of 3 with the same value, then the score will be the sum of those values.

♦️ Yahtzee: If all the dice rolled have the same value, the player will get 50 points; otherwise, it will be 0 points.

♦️ Chance: The player’s score is the total of the rolled dice values and has no conditions.

Psychological strategies when playing Yahtzee

To win the game of Yahtzee, besides relying on luck, psychological strategies will help you excel in the game.

Refer to the following psychological strategies to easily achieve victory:

♦️ Among the strategies to play Yahtzee, the principle of taking calm to control is extremely important.

♦️ The player’s psychology always holds a part of victory because stable psychology will help players feel secure and play for a long time.

♦️ The psychological strategy when playing Yahtzee is to be calm, decisive, patient, wait, not be overly eager to win, and leave at the right time.

♦️ Calmness, determination, and stability are extremely important factors.

♦️ An unchanging mind during the game helps you easily remain calm and choose the right moment to roll the dice.

♦️ Decisiveness helps you be stronger and more confident in your choices.

♦️ Leave at the right time, win without greed, lose without regret, gently and calmly overcome all issues.

Conclusion

The article above has explained to you what Yahtzee is and the issues related to Yahtzee.

Indeed, with just a few dice, the gambling world has countless unique games like this.

Be sure to regularly follow Vaobo88 to explore the entire world of games at the casino.

Choosing a game that suits you is not easy, so keep exploring.

Just keep searching and you might find your true love one day and get rich with it.