Latest build deployed.

course/knowl/xref/example-rolls-conditional.html

@@ -0,0 +1,46 @@
+<!DOCTYPE html>
+<html lang="en-US" dir="ltr">
+<!--******************************************-->
+<!--*  Authored with PreTeXt                 *-->
+<!--*  pretextbook.org                       *-->
+<!--*  Theme: boulder                        *-->
+<!--*  Palette:                              *-->
+<!--******************************************-->
+
+<!--********************************************-->
+<!--*       Generated from PreTeXt source      *-->
+<!--*                                          *-->
+<!--*         https://pretextbook.org          *-->
+<!--*                                          *-->
+<!--********************************************-->
+<head>
+<meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
+<meta name="robots" content="noindex, nofollow">
+</head>
+<body class="ignore-math">
+<article class="example example-like"><h5 class="heading">
+<span class="type">Example</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">25</span><span class="period heading-divison-mark heading-divison-mark__period">.</span>
+</h5>
+<div class="para logical">
+<div class="para">Continuing from the previous example, <span class="process-math">\(|\Omega| = 36\text{.}\)</span>
+</div>
+<div class="displaymath process-math">
+\begin{align*}
+A \amp = \{(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)\} \\
+B \amp = \{(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)\} \\
+A \cap B \amp = \{(6, 4), (6, 5), (6, 6)\} 
+\end{align*}
+</div>
+<div class="para">So <span class="process-math">\(\Pr(A) = \frac{6}{36}, \Pr(B) = \frac{6}{36}, \text{and } \Pr(A\cap B) = \frac{3}{36}\text{.}\)</span> Then:</div>
+<div class="displaymath process-math">
+\begin{gather*}
+\Pr(A \mid B) = \frac{\Pr(A\cap B)}{\Pr(B)} = \frac{3/36}{6/36} = \frac{3}{6} = \frac{1}{2}. 
+\end{gather*}
+</div>
+<div class="para">Notice that <span class="process-math">\(\Pr(A\mid B)\)</span> is significantly larger than <span class="process-math">\(\Pr(A)\text{.}\)</span>
+</div>
+<div class="autopermalink" data-description="Paragraph"><a href="#example-rolls-conditional-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
+</div>
+<div class="autopermalink" data-description="Example 25"><a href="#example-rolls-conditional" title="Copy heading and permalink for Example 25" aria-label="Copy heading and permalink for Example 25">🔗</a></div></article><span class="incontext"><a class="internal" href="notes-week-01.html#example-rolls-conditional">in-context</a></span>
+</body>
+</html>