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    <title>Negative binomial distribution</title>
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<h1>Negative binomial distribution</h1>

<p class="description">
    Keep tossing a coin until we have a total of $r$ heads (successes).
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<p class="description">
    How likely to have $k$ tails (failures) before we stop?
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    <div class="slider-label">$r$</div>
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<div class="formula">
$$
    p(k) = {k+r-1 \choose k}\cdot (1-p)^r p^k
    \\[16pt]
    \text{where $r$ is the number of successes,}\\
    \text{and $p$ is the probability of success.}
$$
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