the mystery of probability

[Profpat]

In standard normal continuous distibution the expected mean is always zero. See http://mathworld.wolfram.com/NormalDistribution.html

I agree that the expected value is zero, and if we continued with creation ( in other word if we had continuous creation) it may indeed be zero but flipping a coin and creation is not continuous. There is an end and probabity theory allows for deviations and statistics allows for an expected value with a certain confidence level ALWAYS less than 100%.

Antonio you're not saying if I flipped that coin a billion time you would expect 500 million heads and 500 million tails EXACTLY are you.

Best,

Pat

[AntonioLao]

The distinction between discrete probability and continuous probability density makes your good question without any bad answer or bad question without any good answer. However, by Casimir experiments the zero-point energy of vacuum probability fluctuations can be demonstrated by the existence of virtual particles interactions proven accurately by QED and QCD.

[Profpat]

OK you lost me Antonio. I think what I've been saying makes sense statistically, and I think you understand the common sense of what I am saying. So please answer as directly as you can. Do you actually expect the exact same number of heads and tails in a limited number of tosses? I would really appreciate a yes or no answer.

Best,

Pat

[AntonioLao]

Do you actually expect the exact same number of heads and tails in a limited number of tosses?

Since I would consider myself a pragmatist, the answer can only be by actually flipping the coin a billion or more times. Gamblers at the casinos did not know that, they cannot at best breakeven otherwise the casinos will become desert towns. By the strict rules of continuous normal gaussian error distribution that all fair coins (not loaded) always has the probability of 1/2 for heads and tails.

[Profpat]

Yes there is an absolute 50/50 chance for a head or a tail. But please don't lose your good common sense for math theory. If creation was continuous I would expect at times there would be more heads or tails then the other later it would go the other way with perhaps more tails than heads and back and forth approaching zero. But there is an end of creation, no new matter or antimatter being created, and so we count, more matter than antimatter. FACT.
Well I have nothing new to offer with this discourse.

Best to you Antonio,

Pat

[AntonioLao]

If creation was continuous I would expect at times there would be

This could be the reason why quantum vacuum fluctuations are physically or experimentally demonstrable. For TQS, the changes of creation: expansion and contraction are just situations of changes of 8 directional invariance.

[Profpat]

The only real valuable thing is intuition." - Albert Einstein

Intuition Definition
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n.

1. 1. The act or faculty of knowing or sensing without the use of rational processes; immediate cognition. See synonyms at reason.
   2. Knowledge gained by the use of this faculty; a perceptive insight.
2. A sense of something not evident or deducible; an impression.

As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.
Albert Einstein, "Geometry and Experience", January 27, 1921

[AntonioLao]

My lack of financial management intuition put me often in the poor house. I can only hope that I won't die penny less. In addition, this is worsen by my belief of winning the lottery. Now, I have 4 part time jobs but just lack the time to do them simultaneously.

[Profpat]

Well Antonio I'm a CPA and I lost half of the value of my 401k. My son in law told me to convert to money markets, but oh no, I knew better. So much for my financial intuition. Since I have a new wife and children I guess I don't want to die pennyless, but if I were single I would. You must be a very honest hard working person, Antonio.

[AntonioLao]

An honest person would never win at cards with an open hand. Therefore there might be certain virtues of keeping secrets in everything with attached monetary values.