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# four of a kind

Best Answer superprismatic, 23 March 2013 - 04:49 PM

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10 replies to this topic

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Posted 23 March 2013 - 06:25 AM

In five decks of cards, what is the least amount of cards you must take to be *guaranteed* at least one four-of-a-kind?

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### #2 superprismatic

superprismatic

Not just Prismatic

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Posted 23 March 2013 - 04:49 PM   Best Answer

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### #3 Prime

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Posted 23 March 2013 - 07:26 PM

Assuming 52-deck card (no Jokers):

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Past prime, actually.

### #4 Prime

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Posted 24 March 2013 - 12:57 AM

Spoiler for proper four of a kind

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Past prime, actually.

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Posted 25 March 2013 - 02:34 AM

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

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### #6 Prime

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Posted 25 March 2013 - 04:07 AM

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

In that case, like Sp said. And the number of decks does not matter.

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Past prime, actually.

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Posted 25 March 2013 - 04:36 AM

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

In that case, like Sp said. And the number of decks does not matter.

well this is embarrassing but for some reason i am getting a higher number, what am i missing?

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### #8 ThunderCloud

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Posted 25 March 2013 - 04:47 AM

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

In that case, like Sp said. And the number of decks does not matter.

well this is embarrassing but for some reason i am getting a higher number, what am i missing?

Spoiler for

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Posted 25 March 2013 - 04:51 AM

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

In that case, like Sp said. And the number of decks does not matter.

well this is embarrassing but for some reason i am getting a higher number, what am i missing?

Spoiler for

Oops. for some reason i had it in my head that there were 14 card types... oopsies

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### #10 Prime

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Posted 25 March 2013 - 04:53 AM

Assume that a four of a kind is defined as only needing to match the numeric (or letter?) value or in other words that suits do not matter.

In that case, like Sp said. And the number of decks does not matter.

well this is embarrassing but for some reason i am getting a higher number, what am i missing?

Do your decks have Jokers? (Wouldn't matter, anyway, since Joker helps making 4 of a kind.) I assume, standard deck is 52 cards 2 - 10, J, Q, K, A.

Spoiler for

If the above assumptions are correct, but the answer is still wrong, I give up and would like to see a list of more cards than Sp posted not having at least 1 four of a kind.

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Past prime, actually.

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