Some examples of robot designs (yes I procrastinate by doing maths badly).
Caveats:
1. All bots below assume the builder succeeded at all the appropriate building rolls.
2. Probabilities for exploding rolls, or any roll with more than one dice kept really, are determined using
https://lynks.se/probability/3. When the Error-Correction Module is chosen, calculations are made assuming it's akin to a +3 on the most difficult roll. It's technically even better than that (it can be used to avoid being damaged and skip a -5 penalty for example) but I'm not computing the ideal algorithm for that, there are limits.
4. Rounding errors might happen.
5. My probabilities classes are in the distant past.
6. Orokos does not actually care about probabilities.
Gentle BotStrategy: Calling 4 Raises out of the Etiquette roll
Build: Awareness 4, Etiquette 1, Hunting 1, Error-Correction Module
Max possible score: 10
Chance of getting damaged (i.e failing a TN9 hunting roll by 5+ out of 2k1): 4/10*4/10=16%
Chance to succeed the TN29 Etiquette roll out of 5k4+3: 58% if not damaged, 35% if damaged
Chances to score
at least 6 points: 0.84*0.58+0.16*0.35=
54%Chances to succeed at the Hunting roll: 36%
Chances of failing the Hunting roll without being damaged: 48%
Chances to succeed at least one other roll if damaged (i.e. chances to succeed one the two rolls before being damaged): 1-(7/10*7/10)=51%
Chances to succeed at least one other roll if not damaged: 1-(7/10*7/10*7/10)=66%
Chances to score
at least 7 points: 0.16*0.35*0.51+0.58*(0.36+0.48*0.66)=
42%Sturdy BotStrategy: Pass everything with no raise
Build: All traits but one at 4, Sturdy Engine
Max possible score: 6
That one roll with 1k1+1 (TN8): 4/10=40% (assuming it will be the first one)
2k2+1 TN8: 85%
2k2+1 TN9: 79%
Chances to succeed the final Etiquette roll: 0.79
Chances of scoring everything else (in a vacuum): 0.4*0.85*0.85*0.79
Chances of scoring everything else but the first roll: 0.6*0.85*0.85*0.79
Chances of scoring everything else but the second or fourth roll: 2*0.4*0.15*0.85*0.79
Chances to break the engine: 3% -> Assuming an autoloss in that case for simplicity's sake
Chances to fail that roll but without breaking the engine: 18%
So chances of failing that roll but succeeding the three others: 0.4*0.85*0.85*0.18
Chances to score
at least 5 points: 0.79*(0.4*0.85*0.85*0.79+0.6*0.85*0.85*0.79+2*0.4*0.15*0.85*0.79+0.4*0.85*0.85*0.18)=
56%Chances of scoring
exactly 6 points: 0.4*0.85*0.85*0.79*0.79 =
16%Reverse Psychology BotStrategy: Call one Raise for each and every of the simplest rolls
Build: Assign skills and traits to roll 3k2 for every TN8 roll (Repulsor Thrusters gives the last missing skill)
Max possible score: 9
Chances to roll 13 out of 3k2: 63%
Chances to roll 9 out of 1k1: 20%
Chances to roll 18 out of 3k2: 27%
Chances to be damaged: 40%
Chances to score at least 6 points if undamaged: 0.63*0.63*0.63*0.2+0.63*0.63*0.63*0.8+3*0.63*0.63*0.37*0.2 (chances to score all the 2-points rolls, chances to score them all but the Etiquette, score to chances any other combination adding up to 6)
Chances to score at least (and at best) 6 points if damaged: 0.63*0.63*0.27
Chances to score
at least 6 points: 0.6*(0.63*0.63*0.63*0.2+0.63*0.63*0.63*0.8+3*0.63*0.63*0.37*0.2)+0.4*0.63*0.63*0.27=
25%