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<title>GNU Scientific Library &ndash; Reference Manual: The Bernoulli Distribution</title>

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<a name="The-Bernoulli-Distribution"></a>
<div class="header">
<p>
Next: <a href="The-Binomial-Distribution.html#The-Binomial-Distribution" accesskey="n" rel="next">The Binomial Distribution</a>, Previous: <a href="The-Poisson-Distribution.html#The-Poisson-Distribution" accesskey="p" rel="previous">The Poisson Distribution</a>, Up: <a href="Random-Number-Distributions.html#Random-Number-Distributions" accesskey="u" rel="up">Random Number Distributions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="The-Bernoulli-Distribution-1"></a>
<h3 class="section">20.31 The Bernoulli Distribution</h3>
<dl>
<dt><a name="index-gsl_005fran_005fbernoulli"></a>Function: <em>unsigned int</em> <strong>gsl_ran_bernoulli</strong> <em>(const gsl_rng * <var>r</var>, double <var>p</var>)</em></dt>
<dd><a name="index-Bernoulli-trial_002c-random-variates"></a>
<p>This function returns either 0 or 1, the result of a Bernoulli trial
with probability <var>p</var>.  The probability distribution for a Bernoulli
trial is,
</p>
<div class="example">
<pre class="example">p(0) = 1 - p
p(1) = p
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005fran_005fbernoulli_005fpdf"></a>Function: <em>double</em> <strong>gsl_ran_bernoulli_pdf</strong> <em>(unsigned int <var>k</var>, double <var>p</var>)</em></dt>
<dd><p>This function computes the probability <em>p(k)</em> of obtaining
<var>k</var> from a Bernoulli distribution with probability parameter
<var>p</var>, using the formula given above.
</p></dd></dl>

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