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<div class="header">
<div class="summary">
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">bayes_theorem.cpp File Reference</div> </div>
<div class="headertitle"><div class="title">bayes_theorem.cpp File Reference</div></div>
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<div class="contents">
<p><a href="https://en.wikipedia.org/wiki/Bayes%27_theorem">Bayes' theorem</a>
<p><a href="https://en.wikipedia.org/wiki/Bayes%27_theorem" target="_blank">Bayes' theorem</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
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@@ -107,7 +106,7 @@ Include dependency graph for bayes_theorem.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a655bfe51252468d232dc639a340656ba"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_AgivenB</a> (double BgivenA, double A, double B)</td></tr>
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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">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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<h2 class="memtitle"><span class="permalink"><a href="#a655bfe51252468d232dc639a340656ba">&#9670;&nbsp;</a></span>bayes_AgivenB()</h2>
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<p>returns P(A|B) </p>
<div class="fragment"><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160; {</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160; <span class="keywordflow">return</span> (BgivenA * A) / B;</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;}</div>
<p >returns P(A|B) </p>
<div class="fragment"><div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> {</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> <span class="keywordflow">return</span> (BgivenA * A) / B;</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abb4f22dc05887c2259fdfc55c687598f">&#9670;&nbsp;</a></span>bayes_BgivenA()</h2>
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<p>returns P(B|A) </p>
<div class="fragment"><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160; {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160; <span class="keywordflow">return</span> (AgivenB * B) / A;</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;}</div>
<p >returns P(B|A) </p>
<div class="fragment"><div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> {</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">return</span> (AgivenB * B) / A;</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; {</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160; <span class="keywordtype">double</span> A = 0.01;</div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160; <span class="keywordtype">double</span> BgivenA = 0.9;</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; <span class="keywordtype">double</span> AgivenB = <a class="code" href="../../d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_AgivenB</a>(BgivenA, A, B);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;A given B = &quot;</span> &lt;&lt; AgivenB &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;B given A = &quot;</span> &lt;&lt; <a class="code" href="../../d5/d67/bayes__theorem_8cpp.html#abb4f22dc05887c2259fdfc55c687598f">bayes_BgivenA</a>(AgivenB, A, B) &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160;}</div>
<p >Main function </p>
<div class="fragment"><div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> {</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="keywordtype">double</span> BgivenA = 0.9;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="keywordtype">double</span> AgivenB = <a class="code hl_function" href="../../d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_AgivenB</a>(BgivenA, A, B);</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;A given B = &quot;</span> &lt;&lt; AgivenB &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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