Will I Roll A Farkle?
Besides having an odd name, here are the rolling odds.
Odds of Scoring
The more dice you roll the more combinations there are to score. For example, if you roll three dice, not only might you roll a 1 or a 5, but you might also roll three of a kind. These odds assume the following combinations, 1, 5, three of a kind, four, five or six of a kind, straights and three pairs.
33.34%
1 Dice Left = 2/6 or 1 in 3
55.56%
2 Dice Left = 20/36 or 1 in 1.80
(Wow! About a 50/50 chance of scoring.
Feeling lucky?)
72.22%
3 Dice Left = 156/216 or 1 in 1.38
(Although the odds are good, I always worry
about this roll.)
85.25%
4 Dice Left = 1092/1296 or 1 in 1.19
92.28%
5 Dice Left = 7176/7776 or 1 in 1.08
97.48%
6 Dice Left = 45480/46656 or 1 in 1.03
Rolling A Farkle
Are you willing to risk it all and roll one more time? If yes, here are your odds in farkling with the number dice you have left.
66.67%
1 Dice Left = 4/6 or 1 in 1.50
44.44%
2 Dice Left = 16/36 or 2 in 2.25
27.78%
3 Dice Left = 60/216 or 1 in 3.60
15.74%
4 Dice Left = 204/1296 or 1 in 6.35
7.72%
5 Dice Left = 600/7776 or 1 in 12.96
2.52%
6 Dice Left = 1176/46656 or 1 in 39.67
Only 3 Dice Left, What to do?
The decision to roll or hold with three dice remaining in Farkle is a critical moment in the game. While the odds of Farkling are around 28%, the optimal strategy depends on your current score, your opponent’s score, and your personal risk tolerance.
If you’re behind, it’s often wise to roll again, even if it risks a Farkle. Conversely, if you have a significant lead, it may be prudent to hold your score and avoid the potential loss of points. Additionally, consider the proximity of both players to the 10,000-point threshold.
Ultimately, the decision to roll or hold is a delicate balance between calculated risk and intuition. While the odds provide valuable information, there’s also a place for gut feelings. By carefully weighing these factors, you can increase your chances of making the best decision and securing a Farkle victory.
If you’re ready to dive into the world of Farkle, consider downloading a Farkle app for your iPhone or Android device. These apps provide a convenient and enjoyable way to play Farkle anytime, anywhere.