...if I were faced by two determined assailants, my 6-shot Astra would afford me 7.1% chance of not having to resort to hand to hand.
Depending on the hit rate. Improving the hit rate (skill level) will improve the chances of making the required number of hits.
But yes, if the requirement is to make X hits and you have X+1 rounds available to do it, it's a very difficult task. Of course, even if you do have to go hand to hand, you likely scored at least one or two hits before running dry and that means your hand to hand odds are much improved over what they would have been against two uninjured attackers.
Also, it's important to understand that there is more than one way to look at the data. One could interpret the data as a useful way to settle on a capacity for their carry gun. Or, one could interpret the data as a useful way to gain a realistic perspective on what kind of capability they will have with a given capacity/hit rate/number of required hits.
If you're stuck with 5 rounds, at least you now understand that shooting it out with 2 determined attackers does not give you a good chance of success. So maybe your strategy should be to use the time it takes you to expend your 5 rounds (hopefully neutralizing at least one of the attackers) doing something else that will increase your chances of survival after the gun runs dry. Maybe moving toward your vehicle. Maybe putting some kind of obstacle between you and your attackers.
My biggest takeway from the numbers was that I shouldn't take it as a given that the problem would be solved by the time the gun was empty. Which means that shooting back shouldn't be my only strategy--I need to also be trying to do something else at the same time that will leave me in a better position for survival after I run dry than just standing there with an empty gun in my hand.
I think you will find records of individuals who have absorbed 10+ rounds of 9MM and .40 out there and continued to fight. To me preparing for a multitude of those individuals is like preparing for a multitude of individuals with body armor... there are things you cannot do with a concealed pistol.
I think you will find records of individuals who stand 8 feet tall. And records of people who weigh over 1000lbs. There are records of people who can lift small cars
or even get shot in the stomach with a cannon ball and survive.
Of course, just pointing out that humanity encompasses a broad range of characteristics is meaningless unless there's some reason that it has relevance to the topic at hand. Do you have some evidence to suggest that it's reasonable to expect that a determined attacker will require 10+ rounds to neutralize? Because while I know that there are some extremely tall individuals in the human race, I also know that it's not reasonable for me to be surprised every time I run across someone who's merely average in height nor is it reasonable for me to open the door every time the doorbell rings with my eyes pointing 2 feet upwards in case the person on my doorstep is 8 feet tall.
And yes, there are certainly things you just can't do with a pistol. There are things you just can't do with pocketknife as well, but I don't plan to stop carrying mine because I can't chop down trees with it, nor would it be reasonable for me to try to talk a person out of sharpening his pocket knife because he still won't be able to kill a moose with a sharp pocket knife.
Isn't the percentage of "one-shot stops" for a 9MM above 80%?
http://www.chuckhawks.com/handgun_power_chart.htm
It's even higher than that if you also include all the attackers who "stopped" without even being shot at all. One very commonly quoted study indicates that 9 out of 10 successful defensive gun uses are resolved without the attacker being shot. If you want to prepare for that all it takes is a starter pistol.
This is one of my concerns with the articulated argument. Why 2-3? Why not 10+?
So you think that 2-3 is too high based on stopping percentages but that it still makes sense to throw out 10+ for consideration? Well, then, if you think that 10+ is a reasonable number of hits per determined attacker required for success, then you can use that as a starting assumption and prepare based on that assumption.
Study the graphs for awhile and you will be able to see what happens to the lines as the number of shots required for success goes up. You should be able to get a very good feel for what the odds will be even without the exact numbers.
To some degree are we not all though in preparing for the attackers who take 2-3 hits rather than those (on both sides) involved in the Miami shoot-out?
"To some degree", no doubt. "To some degree" is a very handy rhetorical tool because it doesn't have to include the concept of reasonable. "To a ridiculous degree" is definitely encompassed by the statement "To some degree" as is "To an infinitesimal degree". Now, if you had said, "To a reasonable degree..." then your statement would have been obviously false. Trying to choose a carry gun that will prepare you for the type of law enforcement shootout that happens only once in many decades is not reasonable at all. I like the concept of reasonable. It makes things much easier.
If you want to prepare for 10+ or for the Miami shootout then go for it--you have only yourself to convince and most people find that a very easy task. Convincing other people it's reasonable will take a good deal more work and you haven't even begun to tread that path yet.
You have asked a variety of questions throughout the thread. Asking questions is a good start but to get past the starting line takes more than just questions. I put together the spreadsheet because I had questions. If I had just kept asking questions and had never tried to answer them, never done anything constructive about my curiosity, I would still be exactly where I started--no progress would have been made at all.
What's the next step? It is trying to answer the questions you have--instead of just trying to come up with more and more questions. Do some research on the topic and come back with a number or range of numbers that you believe is reasonable AND with convincing evidence/a convincing argument to support that belief.
Another option would be to just reject all the assumptions made here--you sound like you're close to that already. In that case it would probably make more sense to start another thread with the assumptions you feel are reasonable and see where it goes rather than trying to participate in a discussion where there's no common ground to begin with--no shared starting assumptions to build on.