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2026-08-01 15:00:14 +00:00
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knowl/xref/example-EV-die.html
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<meta name="robots" content="noindex, nofollow">
</head>
<body class="ignore-math">
<article class="example example-like"><h4 class="heading">
<article class="example example-like"><h2 class="heading">
<span class="type">Example</span><span class="space heading-divison-mark heading-divison-mark__space"> </span><span class="codenumber">3.1.2</span><span class="period heading-divison-mark heading-divison-mark__period">.</span>
</h4>
</h2>
<div class="para logical">
<div class="para">If <span class="process-math">\(X\)</span> takes on the values <span class="process-math">\(x_1, x_2, \dotsc, x_n\)</span> uniformly (i.e., each value having probability <span class="process-math">\(\frac{1}{n}\)</span>), then the expected value is the usual average:</div>
<div class="displaymath process-math">
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\amp = \frac{1 + 2 + \dotsb + 6}{6} = \frac{21}{6} = \frac{7}{2}.
\end{align*}
</div>
<div class="autopermalink" data-description="Paragraph"><a href="#example-EV-die-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
<div class="autopermalink" aria-hidden="true" data-description="Paragraph"><a tabindex="-1" href="#example-EV-die-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 3.1.2"><a href="#example-EV-die" title="Copy heading and permalink for Example 3.1.2" aria-label="Copy heading and permalink for Example 3.1.2">🔗</a></div></article><span class="incontext"><a class="internal" href="sec-Expected-Value.html#example-EV-die">in-context</a></span>
<div class="autopermalink" aria-hidden="true" data-description="Example 3.1.2"><a tabindex="-1" href="#example-EV-die" title="Copy heading and permalink for Example 3.1.2" aria-label="Copy heading and permalink for Example 3.1.2">🔗</a></div>
</article><span class="incontext"><a class="internal" href="sec-Expected-Value.html#example-EV-die">In Context</a></span>
</body>
</html>