+0  
 
+5
1481
3
avatar

In the card game bridge, each of 4 players is dealt a hand of 13 of the 52 cards. What is the probability that each player receives exactly one Ace? (You may use a calculator to compute the probability, but answer as an exact number. Entering a few decimal places of a nonterminating decimal is not considered exact; if you reach such an answer, enter it as a fraction.)

Guest Apr 15, 2015

Best Answer 

 #2
avatar+889 
+5

Picture 52 locations divided into 4 groups of 13.

The first Ace can go anywhere, the second Ace has 39 of 51 possible locations in which to go, the third has 26 of a possible 50 and the fourth 13 of a possible 49.

That works out to about 10.5498%, you should be able to work out the exact fractional value.

Bertie  Apr 15, 2015
 #1
avatar+92781 
0

I'd like to know too.  

Melody  Apr 15, 2015
 #2
avatar+889 
+5
Best Answer

Picture 52 locations divided into 4 groups of 13.

The first Ace can go anywhere, the second Ace has 39 of 51 possible locations in which to go, the third has 26 of a possible 50 and the fourth 13 of a possible 49.

That works out to about 10.5498%, you should be able to work out the exact fractional value.

Bertie  Apr 15, 2015
 #3
avatar+92781 
0

Thanks Bertie, that wasn't so hard after all.  Wish I had thought of it.  LOL   

 

$$\\1\times \frac{39}{51}\times \frac{26}{50}\times \frac{13}{49}=\frac{13182}{124950}=\frac{6591}{62475}$$

Melody  Apr 15, 2015

13 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.