composer99 -> RE: Decline and Fall The Long Way Round (11/5/2014 6:44:32 PM)
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ORIGINAL: AllenK quote:
ORIGINAL: composer99 I'm curious why the Spanish chose a blitzkrieg. An assault with the same die roll result would have slaughtered 3 Italian units. Hi Composer99, Thanks for chipping in. Well, yes, if I'd known in advance what the die roll was going to be I might well have chosen an assault. The main thinking (and very possibly faulty) was I understand the blitzkrieg tends to produce fewer losses for the defender and forces the attacker to choose a more valuable unit as the first loss. Of the die roll combinations, only 7/19 would cause the attacker a loss of two or more units. With only 1 loss, the cheap INF Div would have perished. On the Blitz table there are 11/19 combinations to inflict at least 1 loss, the first of which being the MOT. In terms of defensive losses, the assault table causes the loss of at least 1 unit on 11/19 combinations, whereas the blitz causes this only 8/19. I know this is a crude probability analysis as not all combinations are equally likely but hopefully you get the picture. With few Spanish units to defend the country and significant CW/US support likely to take some time to get into place, I wanted the best chance to preserve the defenders. As it turned out, I got the worst of both worlds but hey, that's the way the cookie crumbles sometimes. I'd be interested to hear your rationale for going with the assault. We had a +5 attack (no table choice yet) and 1 defender. Based on that, if we choose an assault: - the Axis need to roll a 9 or better to take the hex - that is, their probability of taking the hex is 72% - their probability of remaining partly organised is 22% (roll of 14-17) - their probability of remaining completely organised is 6% (roll of 18 or better) - their probability of taking 3 losses is 8% (roll of 9) - their probability of taking 2 losses is 32% (rolls of 2-4, 10, 11, and 14) - their probability of taking 1 loss is 34% (rolls of 5-7, 12, 15, and 17) - their probability of taking 0 losses is 26% (rolls of 8, 13, 16, and 18+) - the probability the Spanish unit would survive is 28% (because all Axis success results destroy the defending unit) If instead we choose a blitz: - the probability the Axis will take the hex is 79% (roll of 8 or better) - their probability of remaining partly organised is 30% (roll of 12-15) - their probability of remaining completely organised is 15% (roll of 16 or better) - they can't possibly take 3 losses - their probability of taking 2 losses is 10% (rolls of 2, 3, and 8) - their probability of taking 1 loss is 52% (rolls of 4-6, 9-11, 14, and 15) - their probability of taking 0 losses is 38% (rolls of 7, 12, 13, and 16+) - the probability the Spanish unit would survive is 66% (rolls of 2-7, and 11-16) So yes, the Spanish were 2 1/3 times more likely to survive the blitz, but the Axis were also more likely to take the hex and remain organised, and would take less losses overall. Hence why I would have gone for the assault (and felt a great deal of Shchadenfreude at Italy's expense when the net '14' came up.)
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