shernren
you are not reading this.
- Feb 17, 2005
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Good try. However, the analogy is wrong, and it should look like this:
The lottery pool is 10 million, but the winner actually won $10^30. It is nothing but a miracle. Your lottery example only apply to any particular species in the evolution of other animals, not to human.
Either I can show you the formal mathematics behind Bayesian analysis, or I can demonstrate this with a simple analogy.
Suppose I tell you that I won the lottery. I can show you the winning ticket. However, you know that there were a thousand people in the running for the lottery.
Suppose you tell me: "The chances of you winning were one in a thousand. That is such a small chance. Therefore you can't possibly have won."
That line of reasoning is absurd, isn't it?
Now jack it up. Suppose that instead of one thousand, the lottery actually had ten thousand participants. I have the winning ticket; but you protest that since my chances of winning are one in ten thousand, I couldn't possibly have won.
Isn't it still absurd? Push it up.
If my chances of winning were one in a million, and I held the winning ticket, would be absurd to argue that I hadn't won?
What if the chances were one in one billion?
One in one trillion? (There are only six billion people on the planet; to make the odds that high, suppose everybody else has bought thousands of tickets and I had bought only one.)
One in one quadrillion?
... One in 10^30?
Whatever my odds were prior to buying the ticket, once I can actually show you the winning ticket, is it not absurd to say that I haven't won?
(I know what you're trying to get at; but I want you to refine your own thinking processes instead of me telling you what's wrong with your phrasing, because that way you gain the most. Think for yourself!)
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