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Analyzing LOTTO (Posted on 2013-03-28) Difficulty: 4 of 5
Let us denote by S the set of 6 integers (their inclusive range being 1 to 37) drawn at random in a weekly lottery.

Given Sord= (m1, m2 ,m3 ,m4, m5, m6 ) , where the said integers are placed in increasing order, please answer the following questions:

a) What is the expected value of m1?
b) What is the expected value of m6?
c) If your "guess set" consists of 6 distinct integers, chosen randomly within the defined range, what is the expected quantity of numbers in this set that match the drawing's results?

Please resolve analytically and then compare your answers with the results of a simulation, based on at least 100,000 independent drawings.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
Some Thoughtsre(2): reconSiderING cAdy TZIDON2013-03-29 12:22:20
Some Thoughtsre(2): reconcider cSteve Herman2013-03-29 09:48:20
re: reconcider cCharlie2013-03-29 09:07:22
Some Thoughtsreconcider cAdy TZIDON2013-03-29 01:08:08
SolutionNo SubjectCharlie2013-03-28 19:14:21
Some ThoughtsI don't do simulations (spoiler)Steve Herman2013-03-28 18:38:10
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