I had been having a lot of trouble naming my characters. Keep up the good work! Armond on 17 Aug at Jacob Mallow, Geneticist Extraordinaire on 18 Aug at
We can deduce two things logically from the beginning. The first is that since Juan is such an excellent marksman, at the end of the first "round" where everyone has had a chance to shoot at least once, assuming they haven't diedthe game will always end with either one winner left alive, or a "two-man standoff".
The second thing we can deduce is that since everyone has an infinite amount of bullets though, only three would actually be required per person until the game endsif two people are left standing, the best thing they can do is keep shooting at each other until they or the other person is dead.
Juan two-man standoff Two-man standoffs There are three possible two-man standoffs at the end of the first round.
Note that since everyone has had a chance to fire once, the person who is the poorest shot will be allowed to shoot first. Juan Jorge is first to fire: It's possible to calculate an "exact" probability out of this game using integrals, however, we are going to stick to high-school algebra and basic logic to solve this puzzle in order to make it understandable to as many people as possible.
This is actually all the information we need to get an answer. Summary Let's summarize the two-man standoffs. Instead of using percentages, we will be using values from 0 to 1 to make the math we will be doing later easier.
The following values represent the probabilities of each person surviving the encounter: If the other two have gotten their allowed shots, and Juan is left standing, he has two options: Shoot Jorge Since he will always hit his opponent, the person he shoots will not make it to the next "round".
That means, he will be left in a two-man standoff see Deduction 2 with the person he didn't shoot. We can now update our graph with this information: But what if three people remain? Not being an idiot, he will choose the latter! Our tree now looks like this: Jose has a slightly larger than There isn't a very large chance that he will survive anyway, but Jorge hopes for the best, and aims his sights at Juan.
Results Assuming everyone plays rationally, here is how the game will go: Yet, one can never guarantee anything with randomness. Addendum There is a "bonus answer" for Jorge getting a better payoff if you are willing to "think outside the box", but I'll leave that one for you to decipher.This weekend, ahead of the fiftieth anniversary of the courthouse raid, several opportunities to explore the event's history and questions will be available.
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That means, he will be left in a two-man standoff (see Deduction #2) with the person he didn't shoot.
Looking at our previous summary, we know that he would rather be in a two-man standoff with the worst shooter (Jorge), so he will always shoot José to avoid a two-man standoff with him. Port Manteaux churns out silly new words when you feed it an idea or two. Enter a word (or two) above and you'll get back a bunch of portmanteaux created by jamming together words that are conceptually related to your inputs..
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