Ripple said:
Actually your doing your math wrong... it's 2 to 4 hits in each arc
Wrong. Average hitting on a 4+ with 2 dice is 1.5 hits per arc given a subsequent roll for the first hit. Probability theory dictates that the odds are you will get 1 hit on the first and have a 50/50 chance that the second roll will also hit. Probability of the third hit occurring is only 25% and the chances of further hits goes down exponentially after that. Given this you are looking at a probable 1-2 hits per arc with only a 25% chance of 3 hits which is unreliable. As I said, that's 2-4 damage points *on average*. Sorry, but that's poor by any standard for a Raid level ship. Sure, a lucky run may boost it, but luck is not something to base a ship's capabilities on since any ship with a beam can do that.
In case you're wondering, the actual probability math for a 2 dice beam hitting on a 4+ is as follows:
A 6 sided die will produce 2 events (1-3, 4-6). Thus the chance any one roll will be a 4+ is the number of events that satisfy the condition / total number of events, ergo 1/2 or 50%. The chance that a second roll of the same die is equal to the probability of the first roll multiplied by the probability of the second roll, i.e. 1/2 * 1/2, or 25%. The formula for subsequent rolls is 1/2^n where n = the number of times the die is rolled.
Thus we have:
1st roll: 1/2 + (1/2 * 1/2) = 75% chance that either one will go forward.
1st roll: 1/2 * 1/2 = 25% chance that neither will go forward.
1st roll: 1/2 * 1/2 = 25% chance that both will go forward.
...assume 1 die goes forward (scores a hit) since that is the majority result from rolling 2 dice:
2nd roll: 1/2 = 50% chance it will go forward.
3rd roll: 1/2 * 1/2 = 25% chance it will go forward.
4th roll: 1/2 * 1/2 * 1/2 = 12.5% chance it will go forward.
etc.
No offense, but beam dice are simply not as good as people think they are.
As to arranging two arcs, so what? Unless you are exceptionally lucky you will be splitting those arcs between two ships. Again, with only 12" range and 2-4 hits per ship, that's pretty pathetic IYAM.
Cheers, Gary