Assume that a regular die {1,2,3,4,5,6} is fair with probability 1/6 for any number and we keep rolling it one trial after the next.

What is the probability of observing the number 1 any time before the pattern 5,6 (this means that we rolled a 5 followed by a 6 on the next roll). For example: 4,2,1,3,1,5,6,2,4