This question is really hard for me to get my head around.
A fair six-sided die is rolled and let $X$ denote the score. The die is rolled again repeatedly until the number on the die is greater than or equal to $X$. let $Y$ denote this number.
We have to find $P(Y=5|X=2)$ and to find the the value of $P(Y=5)$ using the theorem of total probability.
So am I looking for the probability that the first roll greater than 2 is a roll of 5?
Any help is appreciated.