Mean Waiting Time

What is the mean waiting time to get two successive throws of 6? What about three, four? And what is the easiest answer to these questions?

>showlarge intrandom(1,1000,6)
 [2,  6,  2,  6,  6,  4,  3,  5,  5,  6,  4,  1,  6,  6,  4,  6,  6,  4,
 2,  6,  3,  1,  2,  6,  2,  4,  2,  1,  4,  6,  6,  2,  1,  2,  4,  2,
 5,  5,  2,  4,  4,  1,  5,  2,  1,  6,  5,  2,  5,  3,  5,  1,  6,  2,
 6,  3,  6,  4,  3,  2,  6,  4,  3,  5,  1,  6,  2,  4,  4,  3,  1,  5,
 3,  2,  1,  1,  6,  3,  1,  4,  3,  2,  2,  3,  3,  3,  4,  3,  6,  5,
 2,  5,  3,  3,  1,  1,  6,  6,  1,  3,  3,  6,  5,  6,  1,  1,  1,  5,
 6,  4,  3,  3,  1,  5,  2,  6,  5,  2,  3,  4,  4,  2,  2,  1,  6,  6,
 1,  2,  6,  2,  2,  2,  4,  4,  5,  5,  1,  4,  2,  4,  4,  6,  6,  4,
 5,  5,  5,  4,  1,  1,  1,  6,  6,  3,  2,  3,  2,  2,  3,  2,  3,  6,
 6,  4,  6,  4,  6,  6,  3,  2,  1,  5,  2,  3,  1,  3,  6,  3,  4,  6,
 2,  6,  2,  2,  1,  5,  4,  2,  5,  1,  4,  4,  2,  4,  6,  6,  3,  5,
 1,  3,  6,  3,  1,  5,  5,  1,  5,  5,  2,  5,  4,  4,  4,  5,  1,  3,
 6,  3,  6,  5,  5,  2,  2,  5,  6,  4,  5,  4,  5,  6,  5,  6,  5,  3,
 6,  4,  6,  2,  1,  1,  4,  5,  4,  6,  1,  2,  5,  1,  2,  3,  4,  2,
 1,  2,  6,  3,  2,  1,  2,  6,  1,  3,  5,  2,  2,  2,  3,  2,  6,  3,
 1,  1,  5,  2,  1,  1,  1,  3,  2,  6,  5,  2,  4,  3,  3,  2,  1,  4,
 4,  2,  5,  3,  5,  2,  5,  3,  3,  1,  5,  2,  4,  2,  5,  4,  4,  2,
 5,  6,  5,  2,  1,  4,  4,  2,  5,  5,  6,  1,  1,  2,  4,  4,  4,  5,
 1,  4,  4,  2,  6,  1,  3,  4,  6,  5,  5,  2,  4,  5,  4,  4,  5,  2,
 6,  4,  3,  6,  6,  3,  4,  2,  5,  4,  4,  4,  6,  6,  6,  5,  2,  5,
 1,  3,  2,  2,  2,  1,  2,  5,  1,  2,  2,  5,  5,  4,  1,  4,  6,  3,
 2,  3,  1,  1,  1,  2,  5,  3,  6,  6,  2,  2,  6,  3,  4,  1,  6,  6,
 2,  2,  5,  1,  3,  6,  3,  5,  1,  2,  1,  5,  1,  4,  4,  4,  2,  6,
 3,  6,  4,  3,  5,  3,  4,  1,  2,  2,  3,  2,  5,  1,  2,  5,  6,  5,
 4,  1,  3,  2,  6,  6,  5,  3,  5,  5,  4,  3,  1,  2,  5,  6,  4,  3,
 5,  5,  4,  5,  5,  2,  3,  3,  3,  1,  6,  4,  4,  2,  6,  3,  5,  3,
 2,  1,  5,  3,  6,  1,  2,  1,  6,  2,  3,  1,  1,  1,  2,  6,  2,  1,
 5,  2,  5,  4,  6,  5,  6,  2,  1,  6,  6,  4,  2,  5,  6,  1,  2,  1,
 5,  3,  3,  1,  3,  4,  1,  5,  6,  1,  4,  5,  5,  2,  2,  2,  4,  5,
 4,  4,  6,  3,  6,  1,  4,  5,  3,  3,  1,  6,  5,  4,  6,  5,  5,  2,
 4,  3,  4,  2,  6,  4,  4,  6,  5,  6,  2,  5,  5,  6,  5,  3,  4,  2,
 3,  4,  2,  3,  3,  1,  1,  4,  2,  5,  4,  5,  2,  3,  1,  5,  1,  1,
 2,  3,  4,  6,  3,  5,  4,  2,  1,  2,  5,  1,  6,  4,  2,  1,  6,  3,
 6,  2,  6,  4,  4,  4,  5,  6,  6,  6,  5,  2,  1,  4,  4,  1,  5,  2,
 2,  3,  3,  3,  6,  6,  5,  1,  4,  3,  4,  4,  3,  6,  6,  2,  2,  6,
 2,  2,  5,  2,  5,  2,  3,  4,  4,  3,  4,  6,  6,  1,  3,  4,  2,  5,
 3,  2,  2,  3,  2,  6,  3,  2,  5,  6,  1,  1,  2,  5,  4,  6,  4,  6,
 4,  3,  2,  1,  5,  3,  6,  2,  2,  6,  4,  5,  3,  4,  1,  6,  2,  6,
 2,  2,  6,  6,  3,  6,  1,  1,  6,  1,  4,  3,  5,  4,  1,  3,  5,  6,
 1,  1,  2,  5,  2,  3,  2,  5,  4,  1,  4,  5,  5,  3,  3,  2,  4,  2,
 4,  5,  6,  5,  1,  3,  5,  5,  5,  4,  1,  6,  1,  4,  4,  1,  3,  3,
 2,  6,  3,  5,  3,  4,  2,  2,  6,  3,  1,  4,  5,  3,  3,  5,  5,  1,
 3,  6,  1,  1,  6,  4,  1,  1,  3,  3,  4,  1,  2,  3,  6,  4,  2,  3,
 3,  6,  6,  3,  3,  6,  6,  2,  3,  5,  6,  5,  3,  5,  2,  5,  2,  6,
 5,  6,  2,  1,  3,  1,  3,  4,  2,  3,  2,  5,  1,  3,  3,  5,  4,  2,
 3,  6,  3,  6,  6,  3,  6,  5,  3,  4,  6,  5,  5,  6,  6,  1,  5,  3,
 2,  4,  3,  5,  1,  1,  3,  2,  2,  3,  1,  2,  3,  2,  4,  1,  3,  3,
 4,  4,  4,  3,  4,  2,  2,  5,  3,  3,  5,  5,  5,  2,  6,  4,  3,  2,
 3,  4,  5,  4,  4,  4,  2,  3,  1,  3,  3,  6,  4,  6,  4,  2,  5,  2,
 3,  1,  6,  6,  6,  1,  6,  6,  3,  5,  2,  1,  5,  2,  4,  2,  2,  6,
 3,  6,  2,  6,  6,  2,  6,  6,  3,  3,  2,  2,  4,  6,  6,  5,  6,  3,
 1,  3,  2,  4,  5,  1,  6,  2,  2,  5,  2,  4,  6,  1,  4,  4,  5,  6,
 1,  5,  5,  1,  4,  1,  5,  4,  6,  4,  1,  5,  1,  2,  4,  5,  5,  3,
 6,  1,  4,  3,  3,  5,  1,  4,  2,  5,  3,  4,  6,  5,  5,  5,  6,  5,
 1,  5,  2,  4,  4,  4,  3,  6,  3,  3,  4,  3,  3,  2,  6,  1,  3,  6,
 6,  6,  1,  2,  4,  5,  2,  5,  3,  2]

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