Quote: (frogbear @ 09 Jul. 2009, 01:12 )
Quote: (zombocom @ 09 Jul. 2009, 00:39 )
Ignoring the averages is why everyone loses money in vegas.
2x4+ really is better than 1x2+ over a series of games, even if it doesn't "feel" that way.
you take your $50 and I will give you 2 dice to roll a 4+ to double your money
I will take my $50 and roll 1 dice at 2+ to win x1.66 of the amount.
My odds feel a little safer if not as rewarding.
Meh!
Dobbsy: You're not gambling for a single result here (your bet), you're rolling to hit with multiple dice and hoping for as many hits as possible so as to kill lots of enemies!
Let's assume we have twenty Berzerker units, or at least twenty opportunities for Berzerker units to make attacks during the entire game
(not unreasonable for a game where perhaps the majority of your units will be Khorne Berzerkers!).
Simply, find where the line crosses the 50% mark, and that's where you find the average number of hits the Berzerkers should achieve in the game, all else being equal.
As you will note, the average number of hits for the 1x 2+ Berzerkers is about 16 and a half, whilst the average number of hits for the 2x 4+ Berzerkers is 20.
So across the the course of the game, the 20 Berzerker units will apply 3.5 more hits if they have 2x 4+ attacks, than if they have a single 2+ attack.
Yes as you say they'll roll more misses, but at the same time, as the chart below shows, they'll also roll more hits!
And you still feel that a single 2+ attack is better than 2x 4+ attacks?