<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">Omega</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Sigma</font> be   <a href="prob_1.html#NM3">SigmaField</a> of <font color="Maroon">Omega</font>;<br/><b>let </b><font color="Maroon">B</font> be    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">Sigma</font>;<br/><b>let </b><font color="Maroon">A1</font> be    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">Sigma</font>;<br/><b>let </b><font color="Maroon">A2</font> be    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">Sigma</font>;<br/><b>let </b><font color="Maroon">A3</font> be    <a href="prob_1.html#M2">Event</a> of <font color="Maroon">Sigma</font>;<br/><b>let </b><font color="Maroon">P</font> be    <a href="prob_1.html#M3">Probability</a> of <font color="Maroon">Sigma</font>;<br/>













<b>assume </b><b>that </b><br/><a NAME="E1:49"/><i><font color="Green">E37</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font>
 <b>and </b><br/><a NAME="E2:49"/><i><font color="Green">E38</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font>
 <b>and </b><br/><a NAME="E3:49"/><i><font color="Green">E39</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font>
 <b>and </b><br/><a NAME="E4:49"/><i><font color="Green">E41</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font>
 <b>and </b><br/><a NAME="E5:49"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">A1</font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">A2</font>
 <b>and </b><br/><a NAME="E6:49"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">A3</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="prob_1.html#K7">\/</a> <font color="Maroon">A2</font></span>)</span> <a href="subset_1.html#K3">`</a> 
 ;<br/>

<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A1</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A1</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A2</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A3</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A1</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span>
<b>by </b><i>, , , , , </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">B</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font>
<b>by </b><i>, , </i>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A2</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A1</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A2</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A3</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A2</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span>
<b>by </b><i>, , , , , </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">B</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font>
<b>by </b><i>, , </i>
;<br/>

<b>thus </b><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A3</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A1</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A1</font></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A2</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A3</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">A3</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_1.html#K10">.</a> <font color="Maroon">B</font></span>)</span>
<b>by </b><i>, , , , , </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">P</font> <a href="prob_2.html#K4" target="_self">.|.</a> <font color="Maroon">B</font></span>)</span> <a href="prob_1.html#K10">.</a> <font color="Maroon">A3</font>
<b>by </b><i>, , </i>
;<br/>


</div>
