Quote:
Originally Posted by Chas H
A random number generator could generate the same number more than once in a series of 6 numbers. The odds for picking a series of 6 numbers by random generator out of 53 is 1/53 to the 6th power. The odds of picking a series of 6 numbers out 53 by the method used in Powerball are 1/53 x 1/52 x 1/51 x 1/50 x 1/49 x1/48. Are you claiming the products of these two operations are the same?
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No, I am not making this claim. I'm making a different claim.
I am saying that the entire set of possible game outcomes can be enumerated, thus giving a 1:1 correspondence with a set of integers between 1 and N (where N is the number of possible outcomes).
Once you do this, the ENTIRE SET of drawn balls can be equated with an integer. Each set is equated with a unique integer.
This makes the lottery draw (the ENTIRE SET) equivalent to the random number generator which returns an integer between 1 and N.
I don't see what makes this so hard to realize.