Workout Your Brain!! BrainGame!

[MarylandAG]

Polish is the king of these. Since topics are hard to come by, give your brain a bit of a workout this morning. EXPLAIN your answer!

You find yourself at the Greenjack table. Greenjack is similar to Blackjack, except that it is completely different. It is played with a deck of only 16 cards, divided into 4 suits: Red, Blue, Orange and Green. There are four cards in each suit: Ace, King, Queen and Jack. Ace outranks King, which outranks Queen, which outranks Jack - except for the Green Jack, which outranks every other card. If two cards have the same face value, then Red outranks Blue, which outranks Orange, which outranks Green, again except for the Green Jack, which outranks everything.

Here's how the game is played: you are dealt one card face up, and the dealer is dealt one card face down. The dealer then makes some true statements, and you have to work out who has the higher card, you or the dealer. It's that simple!

Round 3:
You are dealt the Red Queen and the dealer makes three statements:
1. My card could lose to a Blue card.
2. Knowing this, if I am more likely to have an Ace or a King than a Queen or a Jack, then I have an Orange card. Otherwise, I don't.
3. Given all of the information you now know, if I am more likely to have a Jack than an Ace, then I actually have a King. Otherwise, I don't.
Who has the higher card, you or the dealer?:undecided:

[Superaggie79]

you have the higher card. He can't have a red card or the green jack. You have the red queen so you win.

[whitelightnin_23]

you have the higher card. He can't have a red card or the green jack. You have the red queen so you win.

he could have an ace or king though...

[aggie1997]

Dealer has an orange Ace.

It could lose to a blue card. I have a Queen and he doesn't have the green Jack, which reduces the probability of him having either of these face cards.

[Mole]

:popcorn:

[Superaggie79]

eff

[dresbf]

Round 3:

You are dealt the Red Queen and the dealer makes three statements:
Who has the higher card, you or the dealer?:undecided:



Does it say what happened in the first two rounds? That would make a difference1. My card could lose to a Blue card.2. Knowing this, if I am more likely to have an Ace or a King than a Queen or a Jack, then I have an Orange card. Otherwise, I don't.

The only known card is the Queen so yes the dealer is more likely to have an ace or king, therefore his card is orange.3. Given all of the information you now know, if I am more likely to have a Jack than an Ace, then I actually have a King. Otherwise, I don't.

Again since the only known card is the queen he is equally likely to have a Jack or Ace so he does not have a king.

This leaves the possibility that the dealer has an orange Ace, orange Queen, or orange Jack meaning you have a 2/3 chance of winning. I think there were two earlier rounds not shown though that would affect hints 2 and 3.

[aggie1997]

Does it say what happened in the first two rounds? That would make a difference

The only known card is the Queen so yes the dealer is more likely to have an ace or king, therefore his card is orange.


Again since the only known card is the queen he is equally likely to have a Jack or Ace so he does not have a queen.

This leaves the possibility that the dealer has an orange Ace, Queen, or Jack meaning you have a 2/3 chance of winning. I think there were two earlier rounds not shown though that would affect hints 2 and 3.


Actually you know he does not have the Green Jack because his card could lose to a blue and the green Jack beats everything. Therefore he has to have an Ace.

[MarylandAG]

I don't think it matters what happens in rounds 1 or 2, for a minute I thought it did. Ready for answer. By the way, someone said he has an orange card, an assumption I made too, wrong though!

[MarylandAG]

Aggie1997, I was reading your posts and your logic is exactly what mine was.

[aggie1997]

Polish is the king of these. Since topics are hard to come by, give your brain a bit of a workout this morning. EXPLAIN your answer!

You find yourself at the Greenjack table. Greenjack is similar to Blackjack, except that it is completely different. It is played with a deck of only 16 cards, divided into 4 suits: Red, Blue, Orange and Green. There are four cards in each suit: Ace, King, Queen and Jack. Ace outranks King, which outranks Queen, which outranks Jack - except for the Green Jack, which outranks every other card. If two cards have the same face value, then Red outranks Blue, which outranks Orange, which outranks Green, again except for the Green Jack, which outranks everything.

Here's how the game is played: you are dealt one card face up, and the dealer is dealt one card face down. The dealer then makes some true statements, and you have to work out who has the higher card, you or the dealer. It's that simple!

Round 3:
You are dealt the Red Queen and the dealer makes three statements: 1. My card could lose to a Blue card.
2. Knowing this, if I am more likely to have an Ace or a King than a Queen or a Jack, then I have an Orange card. Otherwise, I don't.
3. Given all of the information you now know, if I am more likely to have a Jack than an Ace, then I actually have a King. Otherwise, I don't.
Who has the higher card, you or the dealer?:undecided:

I don't think it matters what happens in rounds 1 or 2, for a minute I thought it did. Ready for answer. By the way, someone said he has an orange card, an assumption I made too, wrong though!

Why not orange? It says if the dealer is more likely to have an Ace or a King, then he would have an orange card. This is true because you have a Queen and he cannot have the Green Jack. Which reduces the probability of the dealer having either of these.

[MarylandAG]

After #1 you know that you have the Red Queen (RQ), and the dealer's card could be beaten by a blue card, so the dealer can only have one of the following cards: RK, RJ, BK, BQ, BJ, OA, OK, OQ, OJ, GA, GK, GQ. Of these 12 cards there are 6 Aces or Kings, therefore by #2 their card is not orange.

[dresbf]

Why not orange? It says if the dealer is more likely to have an Ace or a King, then he would have an orange card. This is true because you have a Queen and he cannot have the Green Jack. Which reduces the probability of the dealer having either of these.

I did the same thing, completely overlooked the first hint. It eliminates a lot more cards from the probability equation than just those two.

Edit: Posted a second too late
:sad:

[aggie1997]

Then you win with the Red Queen. Dealer has a Green King.

[MarylandAG]

Here is the answer, with the explanation.


The dealer: After #1 you know that you have the Red Queen (RQ), and the dealer's card could be beaten by a blue card, so the dealer can only have one of the following cards: RK, RJ, BK, BQ, BJ, OA, OK, OQ, OJ, GA, GK, GQ. Of these 12 cards there are 6 Aces or Kings, therefore by #2 their card is not orange. The dealer now has one of the following cards: RK, RJ, BK, BQ, BJ, GA, GK, GQ. Of these 8 cards there are 2 Jacks and 1 Ace, therefore by #3 their card is a King, which beats your Queen. QED.



Let me go find an easier one, I'm out of practice.

[aggie1997]

Good game. It was fun trying to figure it out. Guess I am not as smart as I thought, but should get some credit for trying.

[MarylandAG]

:rep: '97 for the effort!! Let me go track another one down.

[Mole]

Two trains leave their respective stations. One at 10:30am and one at 9:45 am. They are both traveling at 50 mph.....

[aggie1997]

Two trains leave their respective stations. One at 10:30am and one at 9:45 am. They are both traveling at 50 mph.....

They will meet in Chicago at approximately 2:43 p.m.

[Curly06]

1. My card could lose to a Blue card

make its orange or green
2. Knowing this, if I am more likely to have an Ace or a King than a Queen or a Jack, then I have an Orange card. Otherwise, I don't.cant be green jack because it wouldnt loose to a blue card. more likely to have A/Koptions:Orange Ace or King3. Given all of the information you now know, if I am more likely to have a Jack than an Ace, then I actually have a King. Otherwise, I don't. not more likely to have jack therefore he doesnt have the king

dealer has orange ace

[aggie1997]

dealer has orange ace

Wrong. Dealer has a King.

[Curly06]

i see thats the answer but i already had posted it

[MarylandAG]

Wrong answer though Curly, :rep: anyway for effort!!!!

[Curly06]

i said that- but i had already posted it out- i left out the higher blue and red cards in the 1st step which made everything else be wrong...

are you gettin these from a website/? i used to love to do these during class :)

[MarylandAG]

Can't reveal my sources!!:wow: Actually multiple websites:gig: I also love these types of things, we used to do them quite often on this site, seems like eons ago.