The Question is:
Throw a die $5$ times, what is the probability of throwing at least $3$ ones continuously.
I wanted to verify my solution in which I let X denote the positions which the ones could be to count the number of total cases in which there was at least $3$ consecutive items.
Three in a row:
_ _ XXX
_ XXX _
Four in a row:
Five in a row:
With this, I assumed that the total number of possible outcomes would be $6$ and the total sample space would be $6^5$ giving us a probability of $1/6^4$.
Additionally, if the question just asked for at least three of any number would that be $36/6^5$ as there are $6$ numbers and $6$ ways each can satisfy the criteria?