Throw a fair die. X is the number of throws until the first appearance of 6, Y is the number of throws until the first appearance of 5.
I need to calculate E(x), so I used geometric expectency (1/1/6) = 6
Now, I need to calculate -
2026-04-04 15:02:55.1775314975
Fair die - probability - geometric
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Hint:
$$E(X|Y=1)$$
means that the first die roll is 5
thus
$$E(X|Y=1)=1+6=7$$