[SOLVED] Probability involving Combination

creatively12 · #1 $Old$ October 30th, 2009, 12:55 PM

I hope that this is the right part of the forum for this question, if its mistakenly not, please forgive me

In a game of bridge the pack of 52 cards is shared equally between all four players. What is the probability that one particular player has no hearts ?

Please help !

matheagle · #2 $Old$ October 30th, 2009, 05:04 PM

${{13\choose 0}{39\choose 13}\over {52\choose 13}} ={{39\choose 13}\over {52\choose 13}}$

via the hypergeo or if you want to use conditional probabilities....

$\biggl({39\over 52}\biggr)\biggl({38\over 51}\biggr)\biggl({37\over 50}\biggr)\cdots \biggl({27\over 40}\biggr)$