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David M: Card probabilities...can you help?
I'd like to know how to solve the following:
In a four deck game, a four of diamonds is followed by a two of spades.
After two riffle shuffles, the two of spades still follows the four of diamonds, separated by a few other cards.
How do I calculate the probability that duplicates of these two cards may appear in the same order somewhere else in the shuffled decks, separated by one, two or three cards?
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qboy: Re: Card probabilities...can you help?
The "two riffle shuffles" don't seem to me to have much bearing on the problem, since you are asking whether a duplicate order occurs, not whether the original pair is still there...ROUGHLY, there are 3 other 4D's, followed by a total of 12 cards that could be 2S's (assuming 'a few' means 3 or fewer in between). which would make p= (ROUGHLY) 12/208, or 5%. This ignores a couple things...4D's close to each other for example. True anwser probably +/- 1%...
> I'd like to know how to solve the following:
> In a four deck game, a four of diamonds is
> followed by a two of spades.
> After two riffle shuffles, the two of spades
> still follows the four of diamonds,
> separated by a few other cards.
> How do I calculate the probability that
> duplicates of these two cards may appear in
> the same order somewhere else in the
> shuffled decks, separated by one, two or
> three cards?
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