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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div class="header">
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<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">addition_rule.cpp File Reference</div> </div>
<div class="headertitle"><div class="title">addition_rule.cpp File Reference</div></div>
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@@ -107,7 +106,7 @@ Include dependency graph for addition_rule.cpp:</div>
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Functions</h2></td></tr>
<tr class="memitem:a4adfd055c758546456d440ee9133555d"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d4a/addition__rule_8cpp.html#a4adfd055c758546456d440ee9133555d">addition_rule_independent</a> (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>Addition rule of probabilities. </p>
<div class="textblock"><p >Addition rule of probabilities. </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a565ffcbbdbe496ced37250bc8dc36bc0"></a>
<a id="a565ffcbbdbe496ced37250bc8dc36bc0" name="a565ffcbbdbe496ced37250bc8dc36bc0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a565ffcbbdbe496ced37250bc8dc36bc0">&#9670;&nbsp;</a></span>addition_rule_dependent()</h2>
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<p>Calculates the probability of the events A or B for dependent events note that if value of B_given_A is unknown, use chainrule to find it \parama [in] A probability of event A \parama [in] B probability of event B \parama [in] B_given_A probability of event B condition A </p><dl class="section return"><dt>Returns</dt><dd>probability of A and B </dd></dl>
<div class="fragment"><div class="line"><a name="l00025"></a><span class="lineno"> 25</span>&#160; {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>&#160; <span class="keywordflow">return</span> (A + B) - (A * B_given_A);</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;}</div>
<p >Calculates the probability of the events A or B for dependent events note that if value of B_given_A is unknown, use chainrule to find it \parama [in] A probability of event A \parama [in] B probability of event B \parama [in] B_given_A probability of event B condition A </p><dl class="section return"><dt>Returns</dt><dd>probability of A and B </dd></dl>
<div class="fragment"><div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">return</span> (A + B) - (A * B_given_A);</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4adfd055c758546456d440ee9133555d">&#9670;&nbsp;</a></span>addition_rule_independent()</h2>
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<p>calculates the probability of the independent events A or B for independent events \parama [in] A probability of event A \parama [in] B probability of event B </p><dl class="section return"><dt>Returns</dt><dd>probability of A and B </dd></dl>
<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> (A + B) - (A * B);</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;}</div>
<p >calculates the probability of the independent events A or B for independent events \parama [in] A probability of event A \parama [in] B probability of event B </p><dl class="section return"><dt>Returns</dt><dd>probability of A and B </dd></dl>
<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> (A + B) - (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="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>&#160; {</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>&#160; <span class="keywordtype">double</span> A = 0.5;</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>&#160; <span class="keywordtype">double</span> B_given_A = 0.05;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</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;independent P(A or B) = &quot;</span> &lt;&lt; <a class="code" href="../../d6/d4a/addition__rule_8cpp.html#a4adfd055c758546456d440ee9133555d">addition_rule_independent</a>(A, B)</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>&#160; &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="l00037"></a><span class="lineno"> 37</span>&#160; </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</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;dependent P(A or B) = &quot;</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; &lt;&lt; <a class="code" href="../../d6/d4a/addition__rule_8cpp.html#a565ffcbbdbe496ced37250bc8dc36bc0">addition_rule_dependent</a>(A, B, B_given_A) &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="l00040"></a><span class="lineno"> 40</span>&#160; </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;}</div>
<p >Main function </p>
<div class="fragment"><div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordtype">double</span> A = 0.5;</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">double</span> B = 0.25;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordtype">double</span> B_given_A = 0.05;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</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;independent P(A or B) = &quot;</span> &lt;&lt; <a class="code hl_function" href="../../d6/d4a/addition__rule_8cpp.html#a4adfd055c758546456d440ee9133555d">addition_rule_independent</a>(A, B)</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> &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"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> &lt;&lt; <a class="code hl_function" href="../../d6/d4a/addition__rule_8cpp.html#a565ffcbbdbe496ced37250bc8dc36bc0">addition_rule_dependent</a>(A, B, B_given_A) &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"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
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<div class="ttc" id="aaddition__rule_8cpp_html_a565ffcbbdbe496ced37250bc8dc36bc0"><div class="ttname"><a href="../../d6/d4a/addition__rule_8cpp.html#a565ffcbbdbe496ced37250bc8dc36bc0">addition_rule_dependent</a></div><div class="ttdeci">double addition_rule_dependent(double A, double B, double B_given_A)</div><div class="ttdef"><b>Definition:</b> addition_rule.cpp:25</div></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>
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