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 case anybody is interested, I have just worked out (using a spreadsheet), the case where C = 19 and R = 6
After the first round (random draw), the expected value of the remaining 5 rounds as a function of the Card drawn on the first round is:
H Value
-- -------
0-9 63.84179375
10 63.87304375
11 63.96455
12 64.33175
13 65.7
14 70
15 75
16 80
17 85
18 90
19 95
Average of the above = 69.5643640625
Expected value of game =
9.5 + 69.5643640625 =
79.0643640625
Edited on October 3, 2010, 1:52 am
Edited on October 3, 2010, 10:21 am
C = 19, R = 6
