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Throw a die $N$ times, observe results are a monotonic sequence. What is probability that all 6 numbers occur in the sequence?

A $6$-sided die is thrown N times and the results are observed to form a monotonic sequence. What is the probability that every possible number occurs at least once in the sequence?

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    Rather low if $N \lt 6$2012-09-20
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    Indeed, N>=6 otherwise prob is of course zero.2012-09-20
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    Have you searched for answers to this question already given on this forum ? Evidently not ! Seek, and you shall find !2012-09-20
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    Sorry, I did just see the other thread, I am still puzzled at how to get to the generic answer for number of mono seqs given there though if anyone could help..2012-09-20

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