- 5.0 out of 5 stars Just like Yahtzee. Reviewed in the United States on December 27, 2019. Verified Purchase. Just like Yahtzee with the Michigan fan in mind.
- Yahtzee is a dice game for up to four players and you can play online and for free on Silvergames.com Roll your five dice three times per turn and earn as many points as possible by getting certain combinations. Fill each and every column of your score sheet first to win this board game with as many points as you can.
Yahtzee is one of the world's most popular dice rolling games. It's great for a game night with both large and small groups. The object of the game is to roll five dice in order to score combinations and get the highest total score. Yahtzee scoring can be confusing at first, but with some patience you'll be enjoying a game of Yahtzee in no time.
There are 6^2 = 36 possible outcomes when we re-roll the 1 and the 4. We first calculate the number of different outcomes that result in a particular hand and use this to determine the probability of each hand. For example, the probability of rolling a 2 and a 6 is 2/36 since we could roll the 2 and then the 6, or the 6 and then the 2. The probabilities of each of the hands are:
| Hand | Number of Outcomes | Probability | Straight |
| 6 - 2 | 2 | 2/36 = 1/18 | Large |
| 1 - 2 | 2 | 2/36 = 1/18 | Large |
| 6 - (not 2) | 4 · 2 + 1 = 9 | 9/36 = 1/4 | Small |
| 2 - (not 1 or 6) | 3 · 2 + 1 = 7 | 7/36 | Small |
| no 2 or 6 | 4^2 = 16 | 16/36 = 4/9 | None |
Note that a six paired with any other number can occur two ways, but a pair of sixes occurs in only one way. This is why the third and fourth rows have a plus one in the number of outcomes column.
Next, for each of the possible first roll outcomes we calculate the probability of getting a large straight or a small straight on the third roll. For the 6-2 and 1-2 hands we already have our large straight so we are done. For the 6 - (not 2) hand we re-roll the non-2 die. We have a 1/6 chance of getting a two and a large straight, and a 5/6 chance of not getting a 2 and having only a small straight. For the 2 - (not 1 or 6 hand) we will keep the 2,3,4,5 and re-roll one die, giving us a 1/3 chance at rolling a large straight and a 2/3 chance of having only a small straight. In the case where we rolled no 2 or 6 on the second roll, the situation for our third roll is the same as the situation for our second roll, so the above table gives the probabilities of each outcome.
Combining these results we see that the probability of a large straight is
1/18 + 1/18 + (1/4) · (1/6) + (7/36) · (1/3) + (4/9) · (1/18 + 1/18) &asymp 0.267.
The probability of a small straight (but not a large straight) is
(1/4) · (5/6) + (7/36) · (2/3) + (4/9) · (1/4 + 7/36) &asymp 0.535.
The probability of getting no straight at all is (4/9)2 &asymp 0.198.
If we re-roll only one die, then on our second roll we have a 1/6 chance of rolling a 2 and getting a large straight. We also have a 1/6 chance of getting a 6 and a small straight. In this case, on our third roll we have a 1/6 chance of rolling a 2 and getting a large straight. However, 2/3 of the time we get neither a 2 or a 6 on our first roll in which case our situation does not change. Therefore our chance of getting a large straight is
1/6 + (1/6) · (1/6) + (2/3) · (1/6) &asymp 0.306
The probability of getting only a small straight is(1/6) · (5/6) + (2/3) · (1/6) = 0.25.
The chance of getting no straight is (2/3)2 = 4/9 &asymp 0.444. So re-rolling only the 4 gives you a slightly higher chance of getting the large straight, but a much lower probability of at least ending up with a small straight. If you only need a large straight then re-rolling just the four is the better strategy, but if a small straight would also be valuable then re-rolling the 1 and the 4 might be a better move.
Clock Solitaire Rules
Clock Solitaire is one of the simplest types of Solitaire there is.
The cards are divided among 13 piles, which are then arranged as if they were the numbers of the clock, with the thirteenth pile, the King pile, in the middle.
The objective is to place a card into its corresponding clock number position, e.g. the card 3 goes into the 3 o'clock pile, Ace into the 1 o'clock pile, Jack into the 11 o'clock pile, Queen into 12, and King into the center pile.
Yahtzee Meaning
When all of the cards are face up and in their correct clock number pile then you've won the game, but if all four Kings are facing up before all of the other cards are in their correct pile you've lost.
Still, don't feel bad if you don't win, the odds of winning Clock Solitaire are 1/13, or 7.6%, making it even harder to win than Scorpion Solitaire, which used to be our hardest game!
About Clock Solitaire
Clock Solitaire is the 11th solitaire game we make here at CardGames.io, and the first one by our newest employee, Atli. It's an extremely simple game, but still, there's something weirdly compelling about moving the cards around the circle and seeing if you get lucky!
Solitaire
If you have any questions, comments or requests for other solitaire games you can send them to admin@cardgames.io or tweet at us @cardgames_io.
Many thanks go to Nicu Buculei, who created the excellent playing card images that we use for the game.
Yahtzee Io Game
If you like this game check out our other card games, and please share them on Facebook and Twitter.
This is version 2942 of Clock Solitaire.
Yahtzee Play It Online
This website uses cookies to store your preferences, and for advertising purposes. Read more in our Privacy Policy or manage your privacy settings.