Probabilities

Below is a table illustrating the probabilities of a successful attack based on the number of dice held by the attacker and defender. The probabilities are expressed as percentages to one decimal place:
 Probability of a successful attack
 	Attacker	two dice	three dice	four dice	five dice	six dice	seven dice	eight dice
Defender 	one die 	83.8% 	97.3% 	99.7% 	≈100% 	≈100% 	100% 	100%
two dice 	44.4% 	77.9% 	93.9% 	98.8% 	99.8% 	≈100% 	≈100% 	
three dice	15.2% 	45.4% 	74.3% 	90.9% 	97.5% 	99.5% 	99.9% 	
four dice 	3.6% 	19.2% 	46.0% 	71.8% 	88.4% 	96.2% 	99.0% 	
five dice 	0.6% 	6.1% 	22.0% 	46.4% 	70.0% 	86.2% 	94.8% 	
six dice 	0.1% 	1.5% 	8.3% 	24.2% 	46.7% 	68.6% 	84.4% 	
seven dice	≈0.0% 	0.3% 	2.6% 	10.4% 	26.0% 	46.9% 	67.3% 	
eight dice	≈0.0% 	≈0.0% 	0.6% 	3.7% 	12.2% 	27.4% 	47.1% 	
Note: When both the attacker and defender possess the same number of dice, the probability of a successful attack is consistently below 50%. This is because in such cases, the defender wins when both sides roll the same total.
≈ Indicates approximations. Notably, attacks with a genuine 100% success rate are 7 vs. 1 and 8 vs. 1, with even a 6 vs. 1 attack having a slightly lower than 100% win rate. Despite its extreme unlikelihood, a 2 vs. 8 victory also holds a non-zero success rate, as two dice can roll a maximum value of 12, while eight dice have a minimum value of 8.
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