I like to play Blackjack and I am currently learning a new card counting system. I am studying the according betting strategy right now and there are graphs for certain Risks of Ruin. However, to determine the values I want I would have to estimate them from the graph because there are no equations given for the functions of the graphs.
Can anybody help me determine those functions for the graphs?
This are the graphs:
And here is a table for the $~5\%~$ - Curve:
\begin{array} {|r|r|} \hline x & f(x) \\ \hline 0.5 & 240 \\ \hline 1 & 150 \\ \hline 1.5 & 110 \\ \hline 2 & 75 \\ \hline 2.5 & 65 \\ \hline 3 & 55 \\ \hline 3.5 & 45 \\ \hline 4 & 38 \\ \hline 4.5 & 35 \\ \hline 5 & 32 \\ \hline \end{array}
I already thought of $~f(x) = k/x~$ where $~k =~ 150~$, but it's very unprecise so I wanted to have a quite exact function.