$\widehat{S}\left(0\right)$

1.00

$\widehat{S}\left(9\right)=\widehat{S}\left(0\right)\times \frac{10-1}{10}$

0.90

$\widehat{S}\left(13\right)=\widehat{S}\left(9\right)\times \frac{9-1}{9}$

0.80

$\widehat{S}\left(13+\right)=\widehat{S}\left(13\right)\times \frac{8-0}{8}=\widehat{S}\left(13\right)$

0.80

$\widehat{S}\left(18\right)=\widehat{S}\left(13\right)\times \frac{7-1}{7}$

0.69

$\widehat{S}\left(23\right)=\widehat{S}\left(18\right)\times \frac{6-1}{6}$

0.57

$\widehat{S}\left(28+\right)=\widehat{S}\left(23\right)\times \frac{5-0}{5}=\widehat{S}\left(23\right)$

0.57

$\widehat{S}\left(31\right)=\widehat{S}\left(23\right)\times \frac{4-1}{4}$

0.43

$\widehat{S}\left(34\right)=\widehat{S}\left(31\right)\times \frac{3-1}{3}$

0.29

$\widehat{S}\left(45+\right)=\widehat{S}\left(34\right)\times \frac{2-0}{2}=\widehat{S}\left(34\right)$

0.29

$\widehat{S}\left(48\right)=\widehat{S}\left(34\right)\times \frac{1-1}{1}$

0.00