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Colored cards at Morty's


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31 replies to this topic

#1 bonanova

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Posted 31 July 2008 - 11:57 PM

It's been far too long, said Alex to no one in particular as
he tossed his hat skillfully onto a coak hook at Morty's
last night.

Ian and Davey knew that was their cue, and they joined
Alex at his favorite table. Not surprisingly, he pulled out a
deck of cards.

I'm feeling generous tonight laddies, he began. I'll play
a game with you that guarantees that you can double your
money. So to make it fair, I'll collect your initial stake
from you, and then you can keep what ever you win.
That way you can assure no worse than to break even.

Jamie had been listening, from the bar, and what he
heard drew him over to join the others. OK tell us,
he said, how does the game work?

I'll shuffle this deck here, and then deal them face up
one at a time. You start with $1. You can bet any fraction
of your current worth, before I deal the next card, on the
color of the next card. Even odds on each bet, no matter
what.

So how does the guarantee work then? asked Ian.

Drink yer ale, matey! Alex replied, If yer paying attention
at all, you'll know the color of the last card. You can just
wait, and then bet everything on the last card! I'll take
yer stake, you get your winnings, and you break even.

Now, who wants to play?

Jamie and Ian figured that if they were really lucky
they could win every bet and parlay their stake into
about $50 quadrillion. But that would be offset by the
fact that if they lost any of the 52 bets, they'd win
nothing, and Alex would get their stake. Seems like a
bunch of coin tosses to me, said Jamie. Not worth my
time just to break even,
said Ian, And the two of them left.

Davey, trance-like for a moment as he stroked his beard,
finally said, I'll play. Deal the cards.

Did Davey have any expectation of winning money?
If so, how much?


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#2 TwoaDay

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Posted 31 July 2008 - 11:59 PM

if you card count but with colors you increase the odds.. i don't want to do math now
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#3 HoustonHokie

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Posted 01 August 2008 - 12:20 AM

Spoiler for one way to win...

Edited by HoustonHokie, 01 August 2008 - 12:21 AM.

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#4 PureView

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Posted 01 August 2008 - 12:51 AM

Spoiler for If you can bet a different amount before every card:

It's been far too long, said Alex to no one in particular as
he tossed his hat skillfully onto a coak hook at Morty's
last night.

Ian and Davey knew that was their cue, and they joined
Alex at his favorite table. Not surprisingly, he pulled out a
deck of cards.

I'm feeling generous tonight laddies, he began. I'll play
a game with you that guarantees that you can double your
money. So to make it fair, I'll collect your initial stake
from you, and then you can keep what ever you win.
That way you can assure no worse than to break even.

Jamie had been listening, from the bar, and what he
heard drew him over to join the others. OK tell us,
he said, how does the game work?

I'll shuffle this deck here, and then deal them face up
one at a time. You start with $1. You can bet any fraction
of your current worth, before I deal the next card, on the
color of the next card. Even odds on each bet, no matter
what.

So how does the guarantee work then? asked Ian.

Drink yer ale, matey! Alex replied, If yer paying attention
at all, you'll know the color of the last card. You can just
wait, and then bet everything on the last card! I'll take
yer stake, you get your winnings, and you break even.

Now, who wants to play?


Jamie and Ian figured that if they were really lucky
they could win every bet and parlay their stake into
about $50 quadrillion. But that would be offset by the
fact that if they lost any of the 52 bets, they'd win
nothing, and Alex would get their stake. Seems like a
bunch of coin tosses to me, said Jamie. Not worth my
time just to break even,
said Ian, And the two of them left.

Davey, trance-like for a moment as he stroked his beard,
finally said, I'll play. Deal the cards.

Did Davey have any expectation of winning money?
If so, how much?


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#5 HoustonHokie

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Posted 01 August 2008 - 01:05 AM

Spoiler for how much he'll win that way...

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#6 HoustonHokie

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Posted 01 August 2008 - 01:11 AM

Spoiler for If you can bet a different amount before every card:

Spoiler for he loses that way...

Edited by HoustonHokie, 01 August 2008 - 01:14 AM.

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#7 PureView

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Posted 01 August 2008 - 01:52 AM

Spoiler for maybe...

Spoiler for he loses that way...


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#8 HoustonHokie

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Posted 01 August 2008 - 02:18 AM

Spoiler for maybe...

Spoiler for still leaves with less...

Edited by HoustonHokie, 01 August 2008 - 02:20 AM.

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#9 PureView

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Posted 01 August 2008 - 02:46 AM

Spoiler for still leaves with less...

You are correct.
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#10 chewy

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Posted 01 August 2008 - 04:32 AM

I may have missed something, but I read "you can bet any amount".

What if you bet zero and count cards, until the last card?
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