Evan,

Sorry for not giving enough precise information.

In addition to comments below,
1. You're allowed to make one bet before the game. You're not allowed
to change the bet during the game.
2. You say stop after you examined the value of the newly flipped card.

> I would not play this game.
>
> Reason -- there are several crucial pieces of information necessary
> to properly compute the odds:
>
> a) I don't know if you shuffle the deck between each play of the game.
I will use a new deck before each game and shuffle the cards before the
game starts to ensure the cards are in random order. I will not shuffle
the cards during a game.

> b) "when I think the last flipped card has the highest value printed on
> it" -- highest value compared to WHAT? If I'm supposed to determine
> whether a value could be a possible ceiling value, I need to know what
> I'm comparing it against.
You have to guess whether the last flipped card has the highest value in
the whole deck.

> c) the range of available values on the 100 cards (if I have no idea
> what the range is, I have no way of determining whether or not the last
> flipped card is in the upper range of possibilities, so it's a complete
> guessing game)
I'm not telling you any information about the range. I will only tell you
if you guessed right or not.

> d) The number of cards, given your description, should not affect the
> odds -- since it's a wild guess what *ANY* of the cards have for an
> identifier, the odds are 99 to 1 each time if you shuffle the deck before
> each play.
I didn't say the number of cards wouldn't affect the odds.
I won't shuttle the cards during a game.

> e) I have no idea if YOU know what the range of values for the cards are
> (if you know and I don't, that puts you at a distinct advantage much
> greater than five-to-one).
Whether I know the range is not relevant :->. You may assume that we can ask
an impartial judge whether you chose the highest valued card.



> I would play this game if:
> 1) The range of cards were specified (ie, 1 to 100).
> 2) The game were modified to compare the last flipped card TO THE > (n'th)
> FACE-DOWN CARD AFTER the last flipped card (for instance, flip cards until
> I stop, burn three cards, and compare the fourth to my card)
> 3) The used cards were discarded until a shuffle and the deck was shuffled
> when no -less- than 60% of the deck was played.
>
> The strategy for that game would be relatively simple -- make small bets for
> the first 25% of the game, keeping a point count score for the cards that
> had been removed from the deck. Since you would know the total number of
> points still available in the deck at any given moment, you could then
> determine what your "best stop" card would be and make larger bets as that
> stop card became easier to determine.\
>
You're describing a different game but I can really make the game more
difficult for you by using non-integer values on cards to ensure you never
know the total of the values of the cards.


Would you still refuse to play my game?

Daniel