View Full Version : Statistics -deck of cards, 4 aces, 4 players
lmpiegza
Aug 30, 2007, 08:14 AM
:confused: :confused: Hi trying to figure out a problem: you have a deck of 52 cards with 4 aces, assume you give 13 cards to each of 4 players, what is the prob that each players gets one ace?
alkalineangel
Aug 30, 2007, 08:22 AM
That all seems correct to me.
galactus
Aug 30, 2007, 02:01 PM
The first player gets 13 cards, one of which must be an Ace.
The probability of that player being dealt an Ace among the 13 cards is:
\frac{C(48,12)C(4,1)}{C(52,13)}
Can you continue for the next 3 players? Give it a go and write back with your thoughts.
alkalineangel
Aug 30, 2007, 08:01 PM
There used to be a formula up there... where did it go?
Capuchin
Aug 30, 2007, 11:37 PM
I still see it?
alkalineangel
Aug 31, 2007, 05:31 AM
The one from the OP? I don't see it anymore...
Capuchin
Aug 31, 2007, 05:32 AM
I never saw the OP one. There's not a link when I go to edit it.
alkalineangel
Aug 31, 2007, 05:37 AM
Lol I guess they edited it... now my first response doesn't quite make sense... oh well.. lol.
galactus
Aug 31, 2007, 04:22 PM
Any thoughts, other than what happened to the post?
The probability of each player receiving one Ace is:
\frac{C(48,12)C(4,1)}{C(52,13)}\cdot\frac{C(36,12) C(3,1)}{C(39,13)}\cdot\frac{C(24,12)C(2,1)}{C(26,1 3)}
Since the first three players have received their cards, just deal the other 13 out to the last player.