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 Optimal Card Drawing Strategy 2 (Posted on 2010-10-02)
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.

 No Solution Yet Submitted by Daniel No Rating

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 re(3): C = 19, R = 6 Comment 5 of 5 |
(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

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