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Optimal Card Drawing Strategy 2 (Posted on 2010-10-02) Difficulty: 5 of 5
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.

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Some Thoughts C = 19, R = 6 | Comment 2 of 5 |
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
  Posted by Steve Herman on 2010-10-03 01:51:45

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