
Sample spaces
Hi all,
The question is as follows:
An experiment consists of rolling a die until a 6 is obtained.
a) Find the sample space if we are interested in all possibilities.
So For this i would assume that the answer is S=(1,2,3,....) basically you can sit there all day and not get a 6. But the book says:
S= 6,
6, 26, 36, 46,56
116, 126, 136, 146, 156....)
Can someone please explain the meaning of this?
Thanks all!!

This is a geometric random variable.
(Look that up.)
And the sample space consists of a string of integers (from 1,2,3,4,5,6)
of any length that has a 6 at the end and NO 6's prior to that.
YOU repeated 6 twice, you mean 6,16,26,36,46,56, 116....................................