No Jokers

[TimeSpaceLightForce]

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Place one or more chips on the square marks
and pay one to the dealer. He will nod if a bet
agrees with the hidden card then takes all chips
on the board even if he shook head.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[ C ] [ K ] [ D ]

[ 2 ] [ 6 ] [ 3 ]

[ J ] [ 9 ] [ A ] [ 7 ] [ 10 ]

[ 5 ] [ 8 ] [ 4 ]

[ H ] [ Q ] [ S ]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(x)))))
(x))))))))
(x)))

How many chips is necessary to guess his card?

Happy Three Kings !

[bonanova]

I can do it using 21 chips with a method that is so straightforward it likely is not the best result.

[TimeSpaceLightForce]

I can do it using 21 chips with a method that is so straightforward it likely is not the best result.

hi bonanova, actually this is a help solve problem ,i figuring the most efficient way. thanks!

[k-man]

Clarification... If I bet on both a suit and a rank will the dealer nod if either of them matches the card or only if both match? For example, if I bet on K and D, will he nod

1) only if he has a King of Diamonds or

2) if he has any King or any Diamond?

[CaptainEd]

Nice puzzle! We are pretty good at weighing coins here, but when you have to pay per card and pay per round, it's a different story. I started with one more than Bonanova found, but now I've caught up with him.

[TimeSpaceLightForce]

Clarification... If I bet on both a suit and a rank will the dealer nod if either of them matches the card or only if both match? For example, if I bet on K and D, will he nod

1) only if he has a King of Diamonds or

2) if he has any King or any Diamond?

His priority is shake head, 1) only if he has a King of Diamonds

[TimeSpaceLightForce]

Nice puzzle! We are pretty good at weighing coins here, but when you have to pay per card and pay per round, it's a different story. I started with one more than Bonanova found, but now I've caught up with him.

Hi CaptainEd

it is supposed a game we used to play with both opponent to guess first to win..asking any questions answerable by yes or no.

Like : is that a letter or is it a prime..

Unfotunately the solution to puzzle is just straight forward. Iwould be happy with 20 but failed

[CaptainEd]

There are four suits. In our worst case, we'll need to put a chip on 3 of them to discover that it's really the fourth.

Similarly, there are 13 cards, In the worst case, we'll need to put a chip on 12 of them.

So we'll have to put out at least 15 chips. THen our task is to minimize rounds (one chip per deal). I don't see how to improve on two rounds for the suit and four rounds for the card. 15+6=21.

If we combine suits and denominations, I think we'll pay more chips per card, and not save enough in deals.

So if the rounds are (suits only--2,1) (cards only--6,3,2,1), we have 21 chips paid.

[TimeSpaceLightForce]

There are four suits. In our worst case, we'll need to put a chip on 3 of them to discover that it's really the fourth.

Similarly, there are 13 cards, In the worst case, we'll need to put a chip on 12 of them.

So we'll have to put out at least 15 chips. THen our task is to minimize rounds (one chip per deal). I don't see how to improve on two rounds for the suit and four rounds for the card. 15+6=21.

If we combine suits and denominations, I think we'll pay more chips per card, and not save enough in deals.

So if the rounds are (suits only--2,1) (cards only--6,3,2,1), we have 21 chips paid.

Aye CaptainEd

Clear one.Thank you.

Suppose you also held a hidden card and the dealer will guess it too.

Using Bonanova strategy (suits only--2,1) (ranks only--6,3,2,1) Vs.

Dealer using CaptEd strategy (suits only--2,1) (ranks only--5,4,2,1)

Who has the advantage?

Suit : 2-1 trials worth 5 chips

1? 2?

C C

S

D D

H

--------------------

PLAYER

Rank: 6-3-2-1 trials worth 16 chips

3? 4? 5? 6?

A A A A

K K K

Q Q

J J J

10 10

9

8 8 8 8

7 7 7

6 6

5 5 5

4 4

3 3

2

---------------------------------

DEALER

Rank: 5-4-2-1 trials worth 15 or 16 chips

3? 4? 5? 6?

A A A A

K K K

Q Q

J J

10

9 9 9 9

8 8 8

7 7 7

6 6

5 5 5

4 4

3 3

2

..i dont know much statistic but i guess other strategies are less effective.