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# Discrete Random Variables

The language of random variables: independence, distributions, and more.

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These quizzes explore what a discrete random variable really is, from basic definitions to probability density functions to joint distributions.

Out of a box with $$3$$ red and $$3$$ blue balls, one ball is selected uniformly randomly. Out of the remaining $$5$$ balls, another ball is selected uniformly randomly. The random variable $$X$$ takes value $$0$$ if the first selected ball is red and $$1$$ otherwise. The random variable $$Y$$ takes value $$0$$ if the second selected ball is red and $$1$$ otherwise. Are $$X$$ and $$Y$$ independent random variables?

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