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avatar+118724 
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$${\mathtt{1}}{\mathtt{\,-\,}}\left({\left({\frac{{\mathtt{176}}{!}}{{\mathtt{171}}{!}{\mathtt{\,\times\,}}({\mathtt{176}}{\mathtt{\,-\,}}{\mathtt{171}}){!}}}\right)}{\mathtt{\,\times\,}}{{\mathtt{0.93}}}^{{\mathtt{171}}}{\mathtt{\,\times\,}}{{\mathtt{0.07}}}^{{\mathtt{5}}}{\mathtt{\,\small\textbf+\,}}{\left({\frac{{\mathtt{176}}{!}}{{\mathtt{172}}{!}{\mathtt{\,\times\,}}({\mathtt{176}}{\mathtt{\,-\,}}{\mathtt{172}}){!}}}\right)}{\mathtt{\,\times\,}}{{\mathtt{0.93}}}^{{\mathtt{172}}}{\mathtt{\,\times\,}}{{\mathtt{0.07}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{\left({\frac{{\mathtt{176}}{!}}{{\mathtt{173}}{!}{\mathtt{\,\times\,}}({\mathtt{176}}{\mathtt{\,-\,}}{\mathtt{173}}){!}}}\right)}{\mathtt{\,\times\,}}{{\mathtt{0.93}}}^{{\mathtt{173}}}{\mathtt{\,\times\,}}{{\mathtt{0.07}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{\left({\frac{{\mathtt{176}}{!}}{{\mathtt{174}}{!}{\mathtt{\,\times\,}}({\mathtt{176}}{\mathtt{\,-\,}}{\mathtt{174}}){!}}}\right)}{\mathtt{\,\times\,}}{{\mathtt{0.93}}}^{{\mathtt{174}}}{\mathtt{\,\times\,}}{{\mathtt{0.07}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\left({\frac{{\mathtt{176}}{!}}{{\mathtt{175}}{!}{\mathtt{\,\times\,}}({\mathtt{176}}{\mathtt{\,-\,}}{\mathtt{175}}){!}}}\right)}{\mathtt{\,\times\,}}{{\mathtt{0.93}}}^{{\mathtt{175}}}{\mathtt{\,\times\,}}{{\mathtt{0.07}}}^{{\mathtt{1}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{0.93}}}^{{\mathtt{176}}}\right) = {\mathtt{0.986\: \!001\: \!218\: \!893\: \!262\: \!3}}$$

 

$$P(enough\: seats )\approx 0.9860$$

I am reasonably sure that mine is correct. 

Jul 3, 2014

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