@Holden:
30 IPC’s is not the average cost to aquire a tech. In truth there is no average cost.
30ipc is the most cost effective average.
the most cost effective way to acquire tech is by rolling only one die a turn as not to waste two or more rolls of a 6 in the same turn.
if you roll for one tech a turn the average cost to acquire a tech is 30ipc which is 6 rolls at 5ipc each. if you roll more dice per turn the average goes up.
@Holden:
Each time you roll the d6 it is a distinct and seperate event that has no history or bearing on any past d6 rolls you may have made.
This misconception is extremely common and is known as “the Gamblers Fallacy” or “the Law of Averages”. It is the false belief that past failures of a singular random event in some way contribute to a possible future success.
the average cost has nothing to do with the gamblers fallacy. i am not saying that every 6th roll a tech will succeed, and the first 5 rolls will miss.
@Holden:
It’s like that old joke where someone brings a bomb on board a plane because the odds of there being two bombs on a plane are astronomical.
i do not understand your joke.
@Holden:
If you spend 30 IPC’s on tech you have 6 seperate 1 in 6 chances to aquire a tech.
yes but this does not effect the average cost to acquire tech if rolling one die a turn(30ipc). you can figure out the average cost to acquire tech if you always roll 6 dice per turn. i am not that good at math so i can not give you the formula, however i estimate it to cost an average of 43ipc. maybe math teacher gamerman can help me by posting the formula.
@Holden:
BTW: if you want to calculate what the odds are that you will roll any given number on a d6 with a certain number of rolls use the following equation: 1-(5/6)x (where x=the number of dice rolled).
this accurately shows the probability of acquiring a tech with x number of rolls. but this does not show the average cost to acquire tech. assuming you only roll 1 die at a cost of 5ipc per die roll then the average number of rolls to acquire a tech is 6. 5ipc * 6rolls = 30ipc = average cost to acquire tech
@Holden:
Ummm. The entire premise for your analysis is flawed right from the get go. 30 IPC’s is not the average cost to aquire a tech. In truth there is no average cost.
no, the entire premise for the analysis is not flawed. you can argue risk and reward, tactics, and game mechanics but you can not argue the lowest average cost to acquire tech is not 30ipc.