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If we understand your statement, then we're forced to disagree with it.

It goes along fine until you reach the last few words. The alternatives approach

probabilistic ratios, but the ratios will never be predictable.

Perhaps they are, in principle, as the number of repetitious events considered

becomes larger. But we believe the hooker lies in that word "larger", because

probabilities only drive predictions when the number of trials is infinite.

So, "large" must be evaluated by comparison with "infinity", and when you do that,

you never get any closer, no matter how many events you consider.

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Q: When playing by the numbers the larger the number of chance determined repetitous events considered the closer the alternatives will approach predictable ratios?
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Should we allow our only son who is a victim of verbal bullying at school for three years to get a fresh start by living with out of state relatives his jr and sr years?

The only thing being hurt by verbal abuse is his self esteem and pride, ignore it and eventually it will go away, but what to do when it escalates?Jeez! that's a tough oneSending him away may solve the bullying issue or not, there is a saying, once a victim always a victim. Bullying is a big part of the socialization in schools, one on one is easy to settle, but these days kids only do things as a group or gang which means taking on a bunch of people. What do you do as a parent? you obviously cannot jump in there and rescue him every time, which is in effect what you are doing when you send him away, and what's to say the same thing won't happen again in the new school, it empowers them, lowers his self esteem , and perpetuates his being a victim.I know it is an older way of thinking but for a boy to become a man he must stand up for himself.This is in no way advise but just relating a story, My oldest son was picked on quite a bit at school by the jocks since he liked the punk lifestyle. He took it as long as he could and one day snapped and took the leader of the group and slammed his head into a steel locker and repeatedly slammed the door until the boy was bloody, Bad I know but the one week suspension and parent teacher conferences were all the school could or would do as we had reported the abuse numerous times to no avail. He was more than happy to take a week off and I was strangely pleased to find that my son had stood up for himself and had not been immasculated by the repetitous torment or by mommy and daddy stepping in to save the day, better still he followed my advise and waited until the bully made first contact, making what he did self defense. The other child was sent to second chance school for starting the fight.The torment stopped and he acquired a close circle of friends of his own in the process by uniting the entire group of victims of these bullies. Having friends around him wherever he went made the group look elsewhere for entertainment.There are many ways to turn the tables on those who pick on others that do not involve violence but the outcome in my opinion is the same, a young man learns to stand up for himself and becomes self assured, has a better opinion of himself, and no longer is a victim in life.In answer to your question no I do not feel that removing him from the situation is the best way to go as far as his future mental toughness is concerned, but you are the parent and I do not know all the particulars so it may be the best choice in the long run if necessity dictates but having my youngest spend her first year seven hours away at college this year showed me that a child separated from their parents especially for the first time is not exactly a recipe for success.I myself never had to resort to violence while in school, things always seemed to settle down if I ignored them long enough but I believe it was all simpler then, all I ever had to do was show I was not afraid and was prepared to defend myself and it was all I needed. On a side note my son had been taking karate lessons for a few years which built his self esteem, taught him restraint ( enabling him to take as much as he did ) and provided him with the physical strength to put an exclamation point on the word enough.