# Rolling n dice

• August 30th 2009, 07:35 AM
DaRush19
Rolling n dice
(a) How many different outcomes are there from rolling n identical dice?
(b) How many of these sequences contain at least one 6?

I got $6^n$ for part(a) but I'm very muddled over the 2nd part of this question...
• August 30th 2009, 07:57 AM
Plato
Quote:

Originally Posted by DaRush19
(a) How many different outcomes are there from rolling n identical dice?
(b) How many of these sequences contain at least one 6?

I got $6^n$ for part(a) ...CORRECT

b) $6^n -5^n$. WHY?
• August 31st 2009, 02:38 AM
DaRush19
Because $5^n$ contains no 6's at all.

Thanks!