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A probability provides a quantitative description of the likely occurrence of a particular event.
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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 …