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

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midas
Posts: 15
Joined: Wed Mar 11, 2009 3:22 pm

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

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

stapel_eliz
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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.

midas
Posts: 15
Joined: Wed Mar 11, 2009 3:22 pm

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

(13C5)*(13C4)*(13C3)*(13C1) divide by (52C13)
i did it in my calc + it gave the write ans.