I did some testing and stacked 3 (the max) blue quality energy weapons officers each with a 25% chance to reduce the recharge time on beams abilities. You would think this would give a 75% chance to reduce the cooldown of beam abilities (25% x 3 = 75%)
To test this, I casted Beam Overload 50 times in a row, and only 26 times did it reduced the cooldown on the ability. Obviously this is only ~50%, so what are the rules on stacking DOFFs, are there dimishing returns or is it broken?
If instead of stacking it runs the 25% chance three times in a row (one for each DOff assigned), then the probability is 57.8125%.
My reasoning behind this:
This becomes a binomial probability problem with at least one success out of the three DOffs where there is a 25% probability of success, and obviously a 75% probability of failure.
That seems to be what it is doing, running the 25% chance 3 times in a row. In the tooltips for my beam weapons it shows "25% chance..." three times i.e.:
"25% chance..."
"25% chance..."
"25% chance..."
instead of "75% chance..."
It seems counter intuitive for it to do things that way, and it certainly is a hefty diminished return from the expected outcome.
If instead of stacking it runs the 25% chance three times in a row (one for each DOff assigned), then the probability is 57.8125%.
My reasoning behind this:
This becomes a binomial probability problem with at least one success out of the three DOffs where there is a 25% probability of success, and obviously a 75% probability of failure.
26/50 = 0.52 - which is close to this theoretical probability given only 50 chances.
If this is the way it works, then for two DOffs there will be a 43.75% chance of reducing the time.
^^ Trust the math guys ^^
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If instead of stacking it runs the 25% chance three times in a row (one for each DOff assigned), then the probability is 57.8125%.
My reasoning behind this:
This becomes a binomial probability problem with at least one success out of the three DOffs where there is a 25% probability of success, and obviously a 75% probability of failure.
Comments
My reasoning behind this:
This becomes a binomial probability problem with at least one success out of the three DOffs where there is a 25% probability of success, and obviously a 75% probability of failure.
3C1(.25)(.75)^2 + 3C2(.25)^2(.75) + 3C3(.25)^3 = 0.578125
26/50 = 0.52 - which is close to this theoretical probability given only 50 chances.
If this is the way it works, then for two DOffs there will be a 43.75% chance of reducing the time.
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"25% chance..."
"25% chance..."
"25% chance..."
instead of "75% chance..."
It seems counter intuitive for it to do things that way, and it certainly is a hefty diminished return from the expected outcome.
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^^ Trust the math guys ^^
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This math sounds correct regard to the design of the game.