Random Spinner and Frequency Statistics Simulation
2020-01-28 02:53
This GeoGebra applet demonstrates a random spinner model. Click the button to spin the wheel, generating random outcomes while calculating the frequency of each section in real-time. An integrated bar chart visually displays the data distribution, helping students understand the relationship between probability and frequency, and the Law of Large Numbers.
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<objColor r="0" g="100" b="0" alpha="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="TableText">
<input a0="tnames" a1="tnums" a2="tfreqs"/>
<output a0="text1"/>
</command>
<element type="text" label="text1">
<symbolic val="true" />
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<isLaTeX val="true"/>
<font serif="false" sizeM="1.4" size="5" style="0"/>
<absoluteScreenLocation x="1" y="348"/>
</element>
<element type="numeric" label="yscale">
<value val="1.5"/>
<symbolic val="true" />
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1" max="4" absoluteScreenLocation="true" width="200" x="69" y="295" fixed="false" horizontal="false" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation speed="1" type="0" playing="false"/>
<ggbscript onUpdate="SetAxesRatio(1,yscale)"/>
</element>
<command name="Sequence">
<input a0="Circle[(1, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(1)"/>
<output a0="C1s"/>
</command>
<element type="list" label="C1s">
<show object="true" label="true" ev="11"/>
<objColor r="255" g="0" b="0" alpha="0.6200000047683716"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(2, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(2)"/>
<output a0="C2s"/>
</command>
<element type="list" label="C2s">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="255" alpha="0.6399999856948853"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(3, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(3)"/>
<output a0="C3s"/>
</command>
<element type="list" label="C3s">
<show object="true" label="true" ev="11"/>
<objColor r="255" g="0" b="136" alpha="0.6299999952316284"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(4, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(4)"/>
<output a0="C4s"/>
</command>
<element type="list" label="C4s">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="136" b="0" alpha="0.7200000286102295"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(5, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(5)"/>
<output a0="C5s"/>
</command>
<element type="list" label="C5s">
<show object="true" label="true" ev="11"/>
<objColor r="136" g="0" b="255" alpha="0.699999988079071"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[(6, k - 0.5), 0.5]" a1="k" a2="1" a3="nums(6)"/>
<output a0="C6s"/>
</command>
<element type="list" label="C6s">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="136" b="255" alpha="0.7799999713897705"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<expression label="spinIndex" exp="CountIf[x < end, endAngles] + 1" />
<element type="numeric" label="spinIndex">
<value val="5"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<command name="Sequence">
<input a0="If[k ≟ spinIndex, 1, 0]" a1="k" a2="1" a3="6"/>
<output a0="new"/>
</command>
<element type="list" label="new">
<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<angleStyle val="0"/>
</element>
<element type="button" label="button5">
<show object="false" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="142" y="504"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetColor(C1s,"#FF0000")
SetColor(C2s,"#0000FF")
SetColor(C3s,"#FF0088")
SetColor(C4s,"#008800")
SetColor(C5s,"#8800FF")
SetColor(C6s,"#0088FF")
"/>
<font serif="false" sizeM="2" size="12" style="0"/>
<caption val="颜色"/>
</element>
</construction>
</geogebra>