In the problem Optimal Card Drawing Strategy, an optimal strategy was determined for a card game. Give a closed expression for the expected score when using the optimal strategy.

(In reply to re(2): C = 19, R = 6 by Steve Herman)

I am very close to regaining the equation, with some luck I should be able to finish tonight.  I did forget to add another piece of information to the hint.  In you inequality
R¡Ý(2H-C)(C+1)/((C-H+1)(C-H)
try this instead, solve for a threshold functions T(R)
which says that when determining if you should take draw #R you should stop when H>=T(R)
in other words, solve
R¡Ü(2H-C)(C+1)/((C-H+1)(C-H))
for H instead.  Then reevaluate my previous hint.

Posted by Daniel on 2010-10-03 23:34:48