Question: Consider a game where we keep rolling a fair die until it lands on either 5 Or 6... but we can't roll forever, we need

Consider a game where we keep rolling a fair die until it lands on either 5 Or 6... but we can't roll forever, we need to stop at a maximum of 6 rolls, whichever comes first. So either a 5 or a 6, or a maximum of 6 rolls, whichever comes first. Let X denote the number of rolls made. Construct the probability distribution for X.

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