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?
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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