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Is it true that the set of all possible values of a random variable form the sample space?

I think it is false because it is all possible outcomes that form the same space but I wanted to clarify this.

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    $\begingroup$ No, the sample space is where eat a random variable, not the value it takes. $\endgroup$ – user657324 Apr 9 at 8:19
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The sample space is the set of all possible outcomes. For example, if we are flipping a coin the sample space is $\{H, T\}$ where $H$ is heads and $T$ is tails. A random variable is a function from the sample space to the real numbers. For example, we could define the random variable $X$ such that $X(H) = 0$ and $X(T) = 1$. Note there are infinitely many ways that we can make random variables.

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