A question for those who have dealt with Professors.

This might be late, but I feel like I could contribute.

If you don’t want to reroll the question is simple. The question is: “Which result was rolled by which unit?”. There are several ways of doing this I will first describe the simple and then the longer (Which will give the same result).

Simple: Since most of the result where misses, they are not interesting, the only question is where to assing the 3. There is 1 in 4 units that could have been the unit rolling a 3, terefore it is 1 in 4 chance that unit was the artillery.

Longer:
In basic uniform probability, we first start with the assumption that every result is equally likely. Every string of lottery numbers have the same odds. all we have to do then is to count the number of outcomes we like, and compare that to the number of possible outcomes when assigning the results. I will call your units I1, I2, I3 and A. There will be 24 ways of assinging the dies, and 6 of them will assign the 3 to the art. The ways of assigning them are:

A: 3 I1: 6 I2:8 I3:9  = 1 Hit
A: 3 I1: 6 I2:9 I3:8  = 1 Hit
A: 3 I1: 8 I2:6 I3:9  = 1 Hit
A: 3 I1: 8 I2:9 I3:6  = 1 Hit
A: 3 I1: 9 I2:6 I3:8  = 1 Hit
A: 3 I1: 9 I2:8 I3:6  = 1 Hit

A: 6 I1: 3 I2:8 I3:9  = 0 Hit
A: 6 I1: 3 I2:9 I3:8  = 0 Hit
A: 6 I1: 8 I2:3 I3:9  = 0 Hit
A: 6 I1: 8 I2:9 I3:3  = 0 Hit
A: 6 I1: 9 I2:3 I3:8  = 0 Hit
A: 6 I1: 9 I2:8 I3:3  = 0 Hit

A: 8 I1: 3 I2:6 I3:9  = 0 Hit
A: 8 I1: 3 I2:9 I3:6  = 0 Hit
A: 8 I1: 6 I2:3 I3:9  = 0 Hit
A: 8 I1: 6 I2:9 I3:3  = 0 Hit
A: 8 I1: 9 I2:3 I3:6  = 0 Hit
A: 8 I1: 9 I2:6 I3:3  = 0 Hit

A: 9 I1: 3 I2:6 I3:8  = 0 Hit
A: 9 I1: 3 I2:8 I3:6  = 0 Hit
A: 9 I1: 6 I2:8 I3:9  = 0 Hit
A: 9 I1: 6 I2:9 I3:8  = 0 Hit
A: 9 I1: 8 I2:6 I3:3  = 0 Hit
A: 9 I1: 8 I2:3 I3:6  = 0 Hit

In total. That is 6 possible hits, of 24 possible scenarios. Which is 1 in 4.

Lets pretent Hitler was never born and the Weimar was in power.

As soon as you do that all events which follow change, so you can no longer use the same history for the hypothesis, since all of the events that followed were dependent on Hitler. No Hitler = no 1939 invasion of Poland. Other events maybe, but not the same. For all we know if Hitler hadn’t been born, Germany may have been invaded by Russia and the cold war may have been between a German victor and the US.

Hypothesis and theorizing aside: Germany was defeated in North Africa and Stalingrad at the end of 1942 / the start of 1943. At that point any chance of an Axis victory was lost (the Japanese were also experiencing reversals of fortune in the Pacific). The causes for the loss may have started earlier, but that’s when the problems created earlier became physical fact.

News Flash…

My job is to ENCOURAGE people to come see the site, and to participate, and to also click those banner adds for nice things like games that are in the top corner of your screen (please take a moment to tip your waiter or waitress…)

And part of that promotion of traffic is to run Tournaments.  I oversee 2 Tournaments a year, and I do my best to encourage participation in them (I did REALLY well this Spring, not so good this fall) so that people will join the site and be active here (and click the banner ads… please take a moment to tip your waiter or waitress).

So while I PERSONALLY would have removed JSP and U-505 from the Tournament after probably the second smart ass response, that is NOT in keeping with my assigned job of promoting site participation and getting people to click the banner ads (please take a moment to tip your waiter or waitress).

So I am far more patient with most folks as a Moderator than I EVER would be as a person (and that includes pretty much every conflict or dispute to which i have ever been a party to on this site).

So… please take a moment to tip your waiter and waitress.  And while you do so, think of all the posts that I have deleted unsent in the interest of promoting activity on the site.

:-D

It’s located somewhere in his warped brain. :wink:

Radical, maybe, Mexican, never! 8)

You could try saving up IPCs each turn so you’ll have more to spend in buying more expensive units.