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?

(In reply to re: Two different exact answers by Charlie)

Thanks very much, Charlie.

 .00355081161408322 (reciprocal of expected number of occurrences)
 .00354451493749941 (complement of Poisson expectation of zero occurrences)

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