In a certain board game, a 12-sided number cube showing numbers 1–12 is rolled. In this game, a number cube must be rolled until a number 9 or higher appears.

A geometric distribution applies when independent trials continue until the first success. Here, each roll is independent, and success is rolling a 9, 10, 11, or 12. The game stops at the first such roll, so the geometric distribution is appropriate.

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