Rolling n dice

**DaRush19** · August 30th 2009, 07:35 AM

(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...

**Plato** · August 30th 2009, 07:57 AM

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?

**DaRush19** · August 31st 2009, 02:38 AM

Because $5^n$ contains no 6's at all.

Thanks!

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