Actuary Probability problem
The game of bridge is played by four players: north, south, east and west.
Each of these players receive 13 cards.
(a) What is the probability that one of the players receives all 13 spades?
I am having serious trouble with this one, the answer in the back of the book is 6.3 10^-12 and I cant seem to match it.
At first I thought it may be C(13,13)/C(52,13) but thats considering only one player.
Then I thought maybe C(13,13)*C(39,13)*C(26,13)*(13,13)/C(52,52) but this does not work either.
Help!!
Re: Actuary Probability problem
Quote:
Originally Posted by
feefers 
The game of bridge is played by four players: north, south, east and west.
Each of these players receive 13 cards.
(a) What is the probability that one of the players receives all 13 spades?
There are ^4})
ways to deal a bridge game.
There are ^3})
ways for one player to receive all 13 spades.
Re: Actuary Probability problem
Another way to look at the problem:
There are 
possible bridge hands. Only one of these has all the spades. So the probability that one of the players has all the spades is 
.
