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A random variable or stochastic variable is a value that is subject to chance variation (i.e., randomness in a mathematical sense).

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What is the expected number of coin flips, if you stop when the first coin flip is the same ...

In order to calculate the $\text{E}[X]$ where $X$ is the number of total coin flips, this is the approach I took: The probabilities are: $Pr(H) = p$ $Pr(T) = (1-p)$ Define indicator random variabl …
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