find prob 13-card hand consists of 5 spades, 4 hearts, 3 dia  TOPIC_SOLVED

Sequences, counting (including probability), logic and truth tables, algorithms, number theory, set theory, etc.

find prob 13-card hand consists of 5 spades, 4 hearts, 3 dia

Postby midas on Sun Mar 29, 2009 5:52 pm

In a game of bridge find the probability that a hand of thirteen cards consits of 5 spades,4 hearts, 3 diamonds and 1 club
midas
 
Posts: 15
Joined: Wed Mar 11, 2009 3:22 pm

Sponsor

Sponsor
 

  TOPIC_SOLVED

Postby stapel_eliz on Sun Mar 29, 2009 7:54 pm

midas wrote:In a game of bridge find the probability that a hand of thirteen cards consits of 5 spades,4 hearts, 3 diamonds and 1 club

In how many ways can you pick five spaces (of thirteen), four hearts (of thirteen), three diamonds (of thirteen), and one club (of thirteen)? Then in how many ways can you pick such a hand?

In how many ways can you any thirteen-card hand?

Divide the former by the latter to obtain the probability. :wink:
User avatar
stapel_eliz
 
Posts: 1785
Joined: Mon Dec 08, 2008 4:22 pm

Re: find prob 13-card hand consists of 5 spades, 4 hearts, 3 dia

Postby midas on Sun Mar 29, 2009 10:36 pm

(13C5)*(13C4)*(13C3)*(13C1) divide by (52C13)
i did it in my calc + it gave the write ans.
midas
 
Posts: 15
Joined: Wed Mar 11, 2009 3:22 pm


Return to Discrete Math

cron