easy   Probability

One Then Two

A release-checked easy problem for training Dice, Conditional Probability.

Question

Two fair standard n-sided dice are rolled until at least one $1$ appears. Upon stopping, find the probability that both dice show $1$ when $n = 8$.

Practice focus

This Probability problem is tagged Dice, Conditional Probability. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.

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