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<article class="example example-like"><h3 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">1.1.2</span><span class="period heading-divison-mark heading-divison-mark__period">.</span>
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<div class="para">An experiment consists of rolling a standard 6-sided die. The sample space is <span class="process-math">\(\Omega = \{1, 2, 3, 4, 5, 6\}\text{.}\)</span> One possible event is <span class="process-math">\(A = \{2, 4, 6\}\text{,}\)</span> i.e., the event that the result of the roll is even.<div class="autopermalink" data-description="Paragraph"><a href="#example-sample-space-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</div> <div class="para">What would the sample space look like if we roll the die two times and recorded the results?<div class="autopermalink" data-description="Paragraph"><a href="#example-sample-space-1-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
</h2>
<div class="para">An experiment consists of rolling a standard 6-sided die. The sample space is <span class="process-math">\(\Omega = \{1, 2, 3, 4, 5, 6\}\text{.}\)</span> One possible event is <span class="process-math">\(A = \{2, 4, 6\}\text{,}\)</span> i.e., the event that the result of the roll is even.<div class="autopermalink" aria-hidden="true" data-description="Paragraph"><a tabindex="-1" href="#example-sample-space-1-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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<div class="para">What would the sample space look like if we roll the die two times and recorded the results?<div class="autopermalink" aria-hidden="true" data-description="Paragraph"><a tabindex="-1" href="#example-sample-space-1-2" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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<div class="solutions"><details class="answer solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Answer</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary><div class="answer solution-like knowl__content">
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<details class="answer solution-like born-hidden-knowl"><summary class="knowl__link"><span class="type">Answer</span><span class="period heading-divison-mark heading-divison-mark__period">.</span></summary>
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<div class="para">Note that, for example, <span class="process-math">\((1, 2)\)</span> is a different outcome from <span class="process-math">\((2, 1)\text{.}\)</span>
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<div class="autopermalink" data-description="Paragraph"><a href="#example-sample-space-2-1" 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-sample-space-2-1" title="Copy heading and permalink for Paragraph" aria-label="Copy heading and permalink for Paragraph">🔗</a></div>
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<div class="autopermalink" data-description="Answer 1.1.2.1"><a href="#example-sample-space-2" title="Copy heading and permalink for Answer 1.1.2.1" aria-label="Copy heading and permalink for Answer 1.1.2.1">🔗</a></div>
</div></details></div>
<div class="autopermalink" data-description="Example 1.1.2"><a href="#example-sample-space" title="Copy heading and permalink for Example 1.1.2" aria-label="Copy heading and permalink for Example 1.1.2">🔗</a></div></article><span class="incontext"><a class="internal" href="sec-Set-Theory.html#example-sample-space">in-context</a></span>
<div class="autopermalink" aria-hidden="true" data-description="Answer 1.1.2.1"><a tabindex="-1" href="#example-sample-space-2" title="Copy heading and permalink for Answer 1.1.2.1" aria-label="Copy heading and permalink for Answer 1.1.2.1">🔗</a></div>
</div></details>
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<div class="autopermalink" aria-hidden="true" data-description="Example 1.1.2"><a tabindex="-1" href="#example-sample-space" title="Copy heading and permalink for Example 1.1.2" aria-label="Copy heading and permalink for Example 1.1.2">🔗</a></div>
</article><span class="incontext"><a class="internal" href="sec-Set-Theory.html#example-sample-space">In Context</a></span>
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