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<div class="headertitle"><div class="title">bayes_theorem.cpp File Reference</div></div>
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<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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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>
<tr class="separator:a655bfe51252468d232dc639a340656ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb4f22dc05887c2259fdfc55c687598f"><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#abb4f22dc05887c2259fdfc55c687598f">bayes_BgivenA</a> (double AgivenB, double A, double B)</td></tr>
<tr class="separator:abb4f22dc05887c2259fdfc55c687598f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d67/bayes__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</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" 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>
<a id="a655bfe51252468d232dc639a340656ba" name="a655bfe51252468d232dc639a340656ba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a655bfe51252468d232dc639a340656ba">&#9670;&nbsp;</a></span>bayes_AgivenB()</h2>
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<td class="memname">double bayes_AgivenB </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>BgivenA</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>B</em>&#160;</td>
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<td></td>
<td>)</td>
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<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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<a id="abb4f22dc05887c2259fdfc55c687598f" name="abb4f22dc05887c2259fdfc55c687598f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abb4f22dc05887c2259fdfc55c687598f">&#9670;&nbsp;</a></span>bayes_BgivenA()</h2>
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<td class="memname">double bayes_BgivenA </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>AgivenB</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>B</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<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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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
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</div><div class="memdoc">
<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>
<div class="line"><span class="lineno"> 29</span> <span class="keywordtype">double</span> BgivenA = 0.9;</div>
<div class="line"><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"><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>
<div class="line"><span class="lineno"> 32</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;B given A = &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d5/d67/bayes__theorem_8cpp.html#abb4f22dc05887c2259fdfc55c687598f">bayes_BgivenA</a>(AgivenB, A, B) &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 34</span>}</div>
<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>
<div class="ttc" id="abayes__theorem_8cpp_html_a655bfe51252468d232dc639a340656ba"><div class="ttname"><a href="../../d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_AgivenB</a></div><div class="ttdeci">double bayes_AgivenB(double BgivenA, double A, double B)</div><div class="ttdef"><b>Definition:</b> bayes_theorem.cpp:14</div></div>
<div class="ttc" id="abayes__theorem_8cpp_html_abb4f22dc05887c2259fdfc55c687598f"><div class="ttname"><a href="../../d5/d67/bayes__theorem_8cpp.html#abb4f22dc05887c2259fdfc55c687598f">bayes_BgivenA</a></div><div class="ttdeci">double bayes_BgivenA(double AgivenB, double A, double B)</div><div class="ttdef"><b>Definition:</b> bayes_theorem.cpp:20</div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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