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 03-10-2017, 08:00 PM #1 cicakman Carpal \'Tunnel     Join Date: Jul 2008 Posts: 9,030 Simple question I think You draw two cards and neither is an ace. Your friend is feeling generous and let's you draw 10 more. Still no ace. You know there are 40 cards left, 4 of which are aces. If your friend now draws 2 cards, what's the probability she gets exactly 1 ace?
 03-10-2017, 10:23 PM #2 snark old hand   Join Date: Jun 2007 Location: venice beach Posts: 1,233 Re: Simple question I think P(ace) x P(not ace) = (4/40) x (36/39) = 9.23%
03-11-2017, 02:38 AM   #3
nickthegeek
centurion

Join Date: Sep 2011
Posts: 174
Re: Simple question I think

Quote:
 Originally Posted by snark P(ace) x P(not ace) = (4/40) x (36/39) = 9.23%
You have to double that. The above is the probability to draw an Ace and a non-Ace in that specific order. You have to consider the opposite order also.

- Two non-Ace cards: C(36,2)/C(40,2) = 0.807692308
- One Ace and one non Ace: C(4,1)*C(35,2)/C(40,2) = 0.184615385
- Two Aces: C(4,2)/C(40,2) = 0.007692308

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