# 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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##### 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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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, ...

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