Here is a simple spreadsheet to do the calculation for you. Just copy everything below starting with <?xml.. into a text file (use notepad), save it with an xml extension and then open it in Excel.
Change cell B1 with the desired cycle and change cell B4 with the # of hands.
<?xml version="1.0"?>
<?mso-application progid="Excel.Sheet"?>
<Workbook xmlns="urn:schemas-microsoft-com:office:spreadsheet"
xmlns:o="urn:schemas-microsoft-com:office:office"
xmlns:x="urn:schemas-microsoft-com:office:excel"
xmlns:ss="urn:schemas-microsoft-com:office:spreadsheet"
xmlns:html="http://www.w3.org/TR/REC-html40">
<Styles>
<Style ss:ID="Default" ss:Name="Normal">
<Alignment ss:Vertical="Bottom"/>
<Borders/>
<Font/>
<Interior/>
<NumberFormat/>
<Protection/>
</Style>
<Style ss:ID="s20" ss:Name="Percent">
<NumberFormat ss:Format="0%"/>
</Style>
<Style ss:ID="s21">
<NumberFormat ss:Format="0"/>
</Style>
<Style ss:ID="s23" ss:Parent="s20">
<NumberFormat ss:Format="0.0%"/>
</Style>
<Style ss:ID="s24" ss:Parent="s20">
<NumberFormat ss:Format="0.0"/>
</Style>
<Style ss:ID="s25">
<NumberFormat ss:Format="0.0"/>
</Style>
</Styles>
<Worksheet ss:Name="Sheet1">
<Table ss:ExpandedColumnCount="4" ss:ExpandedRowCount="38" x:FullColumns="1"
x:FullRows="1">
<Column ss:Index="2" ss:AutoFitWidth="0" ss:Width="74.25"/>
<Column ss:AutoFitWidth="0" ss:Width="93"/>
<Column ss:AutoFitWidth="0" ss:Width="69.75"/>
<Row>
<Cell><Data ss:Type="String">Success</Data></Cell>
<Cell ss:Formula="=1/4900"><Data ss:Type="Number">2.0408163265306123E-4</Data></Cell>
</Row>
<Row>
<Cell><Data ss:Type="String">Failure</Data></Cell>
<Cell ss:Formula="=1-R[-1]C"><Data ss:Type="Number">0.99979591836734694</Data></Cell>
</Row>
<Row ss:Index="4">
<Cell><Data ss:Type="String">Hands</Data></Cell>
<Cell ss:StyleID="s21"><Data ss:Type="Number">28710</Data></Cell>
<Cell><Data ss:Type="String">Expected</Data></Cell>
<Cell ss:StyleID="s25" ss:Formula="=RC[-2]*R[-3]C[-2]"><Data ss:Type="Number">5.8591836734693876</Data></Cell>
</Row>
<Row ss:Index="6">
<Cell><Data ss:Type="String">Count</Data></Cell>
<Cell><Data ss:Type="String">Prob</Data></Cell>
<Cell><Data ss:Type="String"># of sessions</Data></Cell>
</Row>
<Row ss:Index="8">
<Cell><Data ss:Type="Number">0</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">2.4090838124644128E-3</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">415.09556239848428</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">1</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">1.4118228768086261E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">70.830414808156632</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">2</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">4.136789260617383E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">24.173336783676476</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">3</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">8.0805364384450323E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">12.375416008796982</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">4</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">0.11837585364652689</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">8.4476687533424144</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">5</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">0.13872697388330812</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">7.2084034705547753</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">6</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">0.1354759878994817</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">7.3813818633451405</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">7</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">0.11339706676091074</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">8.8185702555113306</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">8</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">8.3048967539081767E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">12.041088885655478</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">9</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">5.4062858067577414E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">18.496987317060103</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">10</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">3.1673141629636768E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">31.57249166165106</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">11</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">1.6868461226656022E-2</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">59.282230107614772</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">12</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">8.2348576891336858E-3</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">121.43500686351277</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">13</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">3.7107311512557593E-3</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">269.48866927790959</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">14</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">1.5526124524969551E-3</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">644.0757308056958</Data></Cell>
</Row>
<Row>
<Cell ss:Formula="=R[-1]C+1"><Data ss:Type="Number">15</Data></Cell>
<Cell ss:StyleID="s23"
ss:Formula="=R2C2^(R4C2-RC[-1])*R1C2^(RC[-1]) * COMBIN(R4C2,RC[-1])"><Data
ss:Type="Number">6.0630099717937579E-4</Data></Cell>
<Cell ss:StyleID="s24" ss:Formula="=1/RC[-1]"><Data ss:Type="Number">1649.3457946666501</Data></Cell>
</Row>
</Table>
</Worksheet>
</Workbook>
