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My phone is 2543663 (Posted on 2014-04-15) Difficulty: 2 of 5

I repeat rolling a fair die and writing the result down, - after a while I let the software to continue random generation of the integers 1 to 6 till the 1000th digit.

What is the probability for my 7-digit phone number being somewhere within the sequence?

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Two different exact answers Comment 5 of 5 |
(In reply to re: Two different exact answers by Charlie)

Thanks very much, Charlie.

In that case, the revised list of successively better methods is:

 .00355081161408322 (reciprocal of expected number of occurrences)
 .00354451493749941 (complement of Poisson expectation of zero occurrences)
 .0035445212572191355 ( 1-(1-(1/6)^7)^994 )
 .0035445968294705033 (Markov chain)

  Posted by Steve Herman on 2014-04-16 09:39:06
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