The programmers are right, there is no point in them ploughing their time into such things when they've been thoroughly tested.
The simple way to determine if it's just bad luck or a poor strategy, is add
this webpage to your favourites and open it every time you play a game, then simply type in the attack & defence troop quantities, press the "Run Battle Simulation" button and within a couple of seconds it will run millions of rolls and give you the average win/lose percentage.
I just typed in 5 troops v 2 troops:
Risk Odds 5v2
Long-Term Battle Simulation
Attacker Won: 78.6% of the time (12828071 of 16314579 trials)
Average Conquering Army Size: 3
Defender Won: 21.4% of the time (3486508 of 16314579 trials)
6 v 2:
Long-Term Battle Simulation
Attacker Won: 89.1% of the time (9874455 of 11079506 trials)
Average Conquering Army Size: 3
Defender Won: 10.9% of the time (1205051 of 11079506 trials)
7 v 2:
Long-Term Battle Simulation
Attacker Won: 93.5% of the time (7264354 of 7772190 trials)
Average Conquering Army Size: 4
Defender Won: 6.5% of the time (507836 of 7772190 trials)
8 v 2:
Long-Term Battle Simulation
Attacker Won: 96.7% of the time (5813090 of 6008891 trials)
Average Conquering Army Size: 5
Defender Won: 3.3% of the time (195801 of 6008891 trials)
9 v 2:
Long-Term Battle Simulation
Attacker Won: 98.1% of the time (3624945 of 3696612 trials)
Average Conquering Army Size: 6
Defender Won: 1.9% of the time (71667 of 3696612 trials)
10 v 2:
Long-Term Battle Simulation
Attacker Won: 99% of the time (5801228 of 5858088 trials)
Average Conquering Army Size: 7
Defender Won: 1% of the time (56860 of 5858088 trials)
11 v 2:
Long-Term Battle Simulation
Attacker Won: 99.4% of the time (1845840 of 1856331 trials)
Average Conquering Army Size: 8
Defender Won: 0.6% of the time (10491 of 1856331 trials)
12 v 2:
Long-Term Battle Simulation
Attacker Won: 99.7% of the time (1301347 of 1305045 trials)
Average Conquering Army Size: 9
Defender Won: 0.3% of the time (3698 of 1305045 trials)
13 v 2:
Long-Term Battle Simulation
Attacker Won: 99.8% of the time (965659 of 967199 trials)
Average Conquering Army Size: 10
Defender Won: 0.2% of the time (1540 of 967199 trials)
14 v 2:
Long-Term Battle Simulation
Attacker Won: 99.9% of the time (767398 of 767990 trials)
Average Conquering Army Size: 11
Defender Won: 0.1% of the time (592 of 767990 trials)
15 v 2:
Long-Term Battle Simulation
Attacker Won: 99.9% of the time (1202330 of 1202939 trials)
Average Conquering Army Size: 12
Defender Won: 0.1% of the time (609 of 1202939 trials)
16 v 2:
Long-Term Battle Simulation
Attacker Won: 100% of the time (688983 of 689143 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (160 of 689143 trials)
Long-Term Battle Simulation
Attacker Won: 100% of the time (700448 of 700615 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (167 of 700615 trials)
Long-Term Battle Simulation
Attacker Won: 100% of the time (711441 of 711610 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (169 of 711610 trials)
Long-Term Battle Simulation
Attacker Won: 100% of the time (723930 of 724103 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (173 of 724103 trials)
You'll see that after running 4 simulations with over 2 million total rolls, I can't get it to lose for the attacker when attacking 16 to 2, but that still does not mean it is impossible, I bet if I kept running simulations, it would happen!?
(5 v 2): Most importantly, take note of the Defender percentage.. you can at any time be in that 21% and quite possibly be there again next turn. In fact, if 16,314,579 players all rolled at the same time 3,486,508 of them would be shouting at their screen and complaining about unrealistic outcomes!
For example: If the programmers made the dice similar to other sites where the result of the dice are what you would expect to happen with 100 troops verses 50 troops, would this be realistic or false? I say FALSE!
How many armies have defeated overwhelming odds in battle? The answer is, all of the ones that had the most strategic leader!
A good read is Alexander the Great!
The programmers are right, there is no point in them ploughing their time into such things when they've been thoroughly tested.
The simple way to determine if it's just bad luck or a poor strategy, is add [url=http://riskodds.com/]this webpage[/url] to your favourites and open it every time you play a game, then simply type in the attack & defence troop quantities, press the "Run Battle Simulation" button and within a couple of seconds it will run millions of rolls and give you the average win/lose percentage.
I just typed in 5 troops v 2 troops:
[quote=Risk Odds 5v2]Long-Term Battle Simulation
Attacker Won: 78.6% of the time (12828071 of 16314579 trials)
Average Conquering Army Size: 3
Defender Won: 21.4% of the time (3486508 of 16314579 trials)[/quote]
[spoiler=Find out where the odds are 100%]6 v 2:
Long-Term Battle Simulation
Attacker Won: 89.1% of the time (9874455 of 11079506 trials)
Average Conquering Army Size: 3
Defender Won: 10.9% of the time (1205051 of 11079506 trials)
7 v 2:
Long-Term Battle Simulation
Attacker Won: 93.5% of the time (7264354 of 7772190 trials)
Average Conquering Army Size: 4
Defender Won: 6.5% of the time (507836 of 7772190 trials)
8 v 2:
Long-Term Battle Simulation
Attacker Won: 96.7% of the time (5813090 of 6008891 trials)
Average Conquering Army Size: 5
Defender Won: 3.3% of the time (195801 of 6008891 trials)
9 v 2:
Long-Term Battle Simulation
Attacker Won: 98.1% of the time (3624945 of 3696612 trials)
Average Conquering Army Size: 6
Defender Won: 1.9% of the time (71667 of 3696612 trials)
10 v 2:
Long-Term Battle Simulation
Attacker Won: 99% of the time (5801228 of 5858088 trials)
Average Conquering Army Size: 7
Defender Won: 1% of the time (56860 of 5858088 trials)
11 v 2:
Long-Term Battle Simulation
Attacker Won: 99.4% of the time (1845840 of 1856331 trials)
Average Conquering Army Size: 8
Defender Won: 0.6% of the time (10491 of 1856331 trials)
12 v 2:
Long-Term Battle Simulation
Attacker Won: 99.7% of the time (1301347 of 1305045 trials)
Average Conquering Army Size: 9
Defender Won: 0.3% of the time (3698 of 1305045 trials)
13 v 2:
Long-Term Battle Simulation
Attacker Won: 99.8% of the time (965659 of 967199 trials)
Average Conquering Army Size: 10
Defender Won: 0.2% of the time (1540 of 967199 trials)
14 v 2:
Long-Term Battle Simulation
Attacker Won: 99.9% of the time (767398 of 767990 trials)
Average Conquering Army Size: 11
Defender Won: 0.1% of the time (592 of 767990 trials)
15 v 2:
Long-Term Battle Simulation
Attacker Won: 99.9% of the time (1202330 of 1202939 trials)
Average Conquering Army Size: 12
Defender Won: 0.1% of the time (609 of 1202939 trials)
[b]16 v 2:[/b]
Long-Term Battle Simulation
Attacker Won: 100% of the time (688983 of 689143 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (160 of 689143 trials)
Long-Term Battle Simulation
Attacker Won: 100% of the time (700448 of 700615 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (167 of 700615 trials)
Long-Term Battle Simulation
Attacker Won: 100% of the time (711441 of 711610 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (169 of 711610 trials)
Long-Term Battle Simulation
Attacker Won: 100% of the time (723930 of 724103 trials)
Average Conquering Army Size: 13
Defender Won: 0% of the time (173 of 724103 trials)
You'll see that after running 4 simulations with over 2 million total rolls, I can't get it to lose for the attacker when attacking 16 to 2, but that still does not mean it is impossible, I bet if I kept running simulations, it would happen!?
[/spoiler]
(5 v 2): Most importantly, take note of the Defender percentage.. you can at any time be in that 21% and quite possibly be there again next turn. In fact, if 16,314,579 players all rolled at the same time 3,486,508 of them would be shouting at their screen and complaining about unrealistic outcomes!
For example: If the programmers made the dice similar to other sites where the result of the dice are what you would expect to happen with 100 troops verses 50 troops, would this be realistic or false? I say FALSE!
How many armies have defeated overwhelming odds in battle? The answer is, all of the ones that had the most strategic leader!
A good read is Alexander the Great!