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117 lines
5.0 KiB
HTML
117 lines
5.0 KiB
HTML
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<title>Solution to Average Number of Arms</title>
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<h1 class="center">Average Number of Arms</h1>
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<h3>What is the <b>probability</b> that the next person you meet has an <b>above average</b> number of arms?</h3>
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<h4 align="center">Is it: </h4>
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<div class="center">
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<div class="boxa">Impossible </div>
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<div class="boxa">Unlikely </div>
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<div class="boxa">Likely </div>
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<div class="boxa">Very Likely </div>
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<div class="boxa">Certain</div></div>
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<h2>Solution</h2>
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<p>Let's imagine a small town of 2,000 people. </p>
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<p>Now let's say one
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of them only has one arm. </p>
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<p align="center"><b>So the total number of arms is 3,999.</b> </p>
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<p>The average number of arms per person is: </p>
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<p class="center larger"><span class="intbl"><em>number of arms</em><strong>number of people</strong></span> = <span class="intbl"><em>3,999</em><strong>2,000</strong></span> = <b>1.9995</b></p>
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<p>So <b>2</b> is above average!</p>
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<p>We can now see that 1,999 of the people in our small town have
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an above average number of arms. They have 2 arms and the average
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is 1.9995. </p>
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<p>If we meet one person at random from our small town, 1,999 out of
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2,000 will have an above average number of arms. </p>
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<p>The probability of meeting one of these people is 1,999 out of 2,000.
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This can be expressed as:</p>
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<p class="center larger"><span class="intbl"><em>1,999</em><strong>2,000</strong></span> = <b>0.9995</b></p>
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<p>If the probability was <b>1.0</b> it would be certain that the next person
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we meet would have an above average number of arms. It is not <b>1.0</b> but it is close. So we can say that it is:</p>
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<p>
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<center>
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<span class="largest">Very Likely</span> that the
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next person we meet will have an above average number of arms.
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</center>
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</p>
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<p> </p>
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<p>Not quite what you expected, hey? <br />
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<br />
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</p>
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<div class="related"> <a href="puzzle.html">Puzzles</a> <a href="puzzles/index.html">More Puzzles</a> </div>
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