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Article #2484

Re: hoosier-cash-lotto-inspired puzzle.

#2484
From: David Karr
Date: Mon, 25 Jan 1993 14:42
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In article <93024.165953RVESTERM@vma.cc.nd.edu> <RVESTERM@vma.cc.nd.edu> writes:
>you see the results of a lottery drawing: n numbers, i1, i2, ..., in.
>what is the chance that the highest number possible in the lottery is
>k?

This seems more of a statistics question than a probability question.
You have a probability distribution with one parameter (k) and you
want to estimate the value of k from a set of actual data, using some
formula.  But you need to make some kind of assumption about the
distribution of k itself in order to ask your question.  Suppose your
formula gives k=29.  I would guess that k=30 is much more likely to be
the parameter for a real-life lottery in that case.

> also, what is the chance that
>there is no k such that k is the highest number possible?

I.e. every positive integer has a non-zero probability of being selected
by the first ball?  Then surely the distribution of this variable is not
uniform, unlike every lottery I know of.

>bob vesterman.

-- David Karr (karr@cs.cornell.edu)
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Message-ID: <1993Jan25.144208.1778@cs.cornell.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!udel!rochester!cornell!karr
References: <93024.165953RVESTERM@vma.cc.nd.edu>

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Newsgroups: rec.puzzles
Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!udel!rochester!cornell!karr
From: karr@cs.cornell.edu (David Karr)
Subject: Re: hoosier-cash-lotto-inspired puzzle.
Message-ID: <1993Jan25.144208.1778@cs.cornell.edu>
Organization: Cornell Univ. CS Dept, Ithaca NY 14853
References: <93024.165953RVESTERM@vma.cc.nd.edu>
Date: Mon, 25 Jan 1993 14:42:08 GMT
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