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Author: Subject: Hand Number One
wizard



Mood:  
posted on 4-27-2022 at 03:35 PM Edit Post Reply With Quote
Hand Number One

The First Hand Dilemma

There is a feeling that hand number 1 is problematic. In the 007 version, it is discarded completely. The reason given for this is that it is a crapshoot. I do not agree. Certainly, your position is a factor. It is easier to bid last than first, but this is true for all bidding situations. What do you know that will not make your bid simply luck? You know what card you hold in your hand. You know what is Trump. You know how many players will bid after you. These 3 factors remove your bid from the 'crapshoot' category.
1. Your card: Holding either a Wizard or a Jester you know exactly what to bid. Holding a 10-J-Q-K-A of Trump you have to decide whether to bid 1 or 0.
2. What is Trump: Holding a card that is not trump you will bid zero. If it is a No-Trump hand you may want to bid 1 with an Ace or King.
3. Number of Players: There can be 5, 4, 3, or 2 bids after yours. The fewer the number of players the better your chances of winning with a high trump card or an Ace or King in No Trump.
It is no Crapshoot!

View User's Profile E-Mail User View All Posts By User U2U wizard
verona



Mood:  No Mood.
posted on 4-27-2022 at 05:46 PM Edit Post Reply With Quote
math on first hand

Since there are no options for which card to play when a player is only holding one card, there is a statistically correct bid for any given card. This only truly applies if a player has the lead, and thus no information from other bids. Since a correct bid of 1 yields 30 points, and a correct bid of 0 only yields 20, a bid of 1 over time yields more points as long as the player has at least a 42.86% chance of winning the trick.

The known cards are only a player's own card and the turn up, so with 58 unknowns, the odds that a hand will win in a three player game are calculated by the odds that both of the other hands lose to that player. That is, (x/58)*((x-1)/57), x=# of cards the player can beat. The calculation is similar for more players. Solving for x to yield 0.4286 or greater gives the minimum number of cards a player needs to be ahead of to justify a bid of 1.

With the lead:

In a 3-person game, x=39, bid 1 with an offsuit Jack or stronger.
In a 4-person game, x=44, bid 1 with the 3 of trump or stronger, (4 of trump if the turn up is the 2 or 3).
In a 5-person game, x=49, bid 1 with the 9 of trump or better, (the 8 will do if the turn up is higher than the 8)
In a 6-person game, x=50, bid 1 with the 10 of trump or better (9 if turn-up is 10 or higher)
In the special case that a jester turns up and there is therefore no trump, and the player has the lead: always bid 1 in a 3 player game, With 4 - bid 1 on 3 or higher, with 5 - bid 1 with any 9 or higher, and with 6 players a 10 or higher.

View User's Profile View All Posts By User U2U verona
wizard



Mood:  
posted on 4-27-2022 at 07:56 PM Edit Post Reply With Quote
007 states, "The fate of all players is already decided by cards for the first hand. Nobody can do anything about it. That's why it's eliminated in 007 tournament."
---- I would like to agree with you but then we would both be wrong. "Free-will" still exists. You can decide to bid 1 or 0 based on the 3 factors previously mentioned. Your fate is not already cast in stone.

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