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<title>Algorithms_in_C++: probability/bayes_theorem.cpp File Reference</title>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/Bayes%27_theorem" target="_blank">Bayes' theorem</a> </p>
<p >Bayes' theorem allows one to find \(P(A|B)\) given \(P(B|A)\) or \(P(B|A)\) given \(P(A|B)\) and \(P(A)\) and \(P(B)\).<br />
<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Bayes%27_theorem" target="_blank">Bayes' theorem</a> </p>
<p>Bayes' theorem allows one to find \(P(A|B)\) given \(P(B|A)\) or \(P(B|A)\) given \(P(A|B)\) and \(P(A)\) and \(P(B)\).<br />
Note that \(P(A|B)\) is read 'The probability of A given that the event B has occured'. </p>
</div><h2 class="groupheader">Function Documentation</h2>
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<p >returns P(A|B) </p>
<p>returns P(A|B) </p>
<div class="fragment"><div class="line"><span class="lineno"> 14</span> {</div>
<div class="line"><span class="lineno"> 15</span> <span class="keywordflow">return</span> (BgivenA * A) / B;</div>
<div class="line"><span class="lineno"> 16</span>}</div>
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<p >returns P(B|A) </p>
<p>returns P(B|A) </p>
<div class="fragment"><div class="line"><span class="lineno"> 20</span> {</div>
<div class="line"><span class="lineno"> 21</span> <span class="keywordflow">return</span> (AgivenB * B) / A;</div>
<div class="line"><span class="lineno"> 22</span>}</div>
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<p >Main function </p>
<p>Main function </p>
<div class="fragment"><div class="line"><span class="lineno"> 26</span> {</div>
<div class="line"><span class="lineno"> 27</span> <span class="keywordtype">double</span> A = 0.01;</div>
<div class="line"><span class="lineno"> 28</span> <span class="keywordtype">double</span> B = 0.1;</div>
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<li class="navelem"><a class="el" href="../../dir_82e494173a87936756866de2fa774307.html">probability</a></li><li class="navelem"><a class="el" href="../../d5/d67/bayes__theorem_8cpp.html">bayes_theorem.cpp</a></li>
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