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We have 30 cards. We draw 15 of them.

  1. What is the probability of drawing a specific combination of 5 cards, assuming all cards are unique?
  2. What is the probability of drawing a specific combination of 5 cards, assuming there are 2 copies of each card?

(Additionally I'd love some pointers on where i can go to learn this kind of probabilistic math and how to do the calculations myself. Not sure what to search for to find this kind of information.)

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  • $\begingroup$ By drawing a specific combination of $5$ cards, do you mean they have to be drawn in a specific order, or do they just have to be included in the $15$ that you take? $\endgroup$ – Frpzzd May 17 '17 at 14:19
  • $\begingroup$ As a first lesson in probability theory try to formulate your questions in the context of probability theory $\endgroup$ – JJR May 17 '17 at 21:07
  • $\begingroup$ Order is not important, just the 5 cards in any order. Sorry about the confusion. $\endgroup$ – Draken May 17 '17 at 21:17
  • $\begingroup$ You most likely need the multinomial distribution and its generalizations. $\endgroup$ – amd May 18 '17 at 0:55
  • $\begingroup$ Thanks. But I am not a mathematician, that math is way above my head. :) Where can I go to get this question answered? $\endgroup$ – Draken May 18 '17 at 15:11

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