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    Finding probability in a game using dice

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    If a die is rolled 4 times, what is the probability that a 3 comes up at least once?

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    https://brainmass.com/math/probability/finding-probability-game-using-dice-10435

    Solution Preview

    So, we need to find the probability of getting at least one 3. We can write this as the following...

    P(X=1)+P(X=2)+P(X=3)+P(X=4).

    Here X is the random variable equal to the number of 3's that we've rolled. However, ...

    Solution Summary

    A step-by-step solution is provided, which solves the problem - if a die is rolled 4 times, what is the probability that a 3 comes up at least once. The question is answered using the probability of the compliment of the event, rather than finding this probability directly.

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