Math Help Forum

Math Help Forum Feed Site Feed

Go Back   Math Help Forum > Pre-University Math Help > Basic Statistics and Probability
Reply
 
Thread Tools Display Modes
  #1  
Old July 5th, 2009, 10:59 PM
Junior Member
 
Join Date: Oct 2008
Posts: 51
Country:
Thanks: 10
Thanked 0 Times in 0 Posts
morganfor is on a distinguished road
Default probability that last card dealt in poker hand is an ace

A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace? Is it still 4/52? Thanks!
Reply With Quote
Advertisement
 
  #2  
Old July 6th, 2009, 12:21 AM
Member
 
Join Date: Jul 2009
Location: Singapore
Posts: 183
Country:
Thanks: 130
Thanked 10 Times in 10 Posts
arze is on a distinguished road
Default

we'll first have to calculate the probablity that one of the 13 cards is an ace, then the probability that it will be dealt last.
Reply With Quote
  #3  
Old July 6th, 2009, 02:49 AM
Member
 
Join Date: Mar 2008
Posts: 177
Country:
Thanks: 34
Thanked 38 Times in 36 Posts
Unenlightened is on a distinguished road
Default

Really?

Is it not just the same as selecting a card at random and seeing if it is an ace?
Reply With Quote
  #4  
Old July 6th, 2009, 04:18 AM
Member
 
Join Date: Jul 2009
Location: Singapore
Posts: 183
Country:
Thanks: 130
Thanked 10 Times in 10 Posts
arze is on a distinguished road
Default

Quote:
Originally Posted by Unenlightened View Post
Really?

Is it not just the same as selecting a card at random and seeing if it is an ace?
we have to consider that only 13 of the shuffled cards are dealt, so there is even a probability that none of the dealt cards are aces. therefore, we must consider the probability of an ace being among the dealt cards, then the probability that it is dealt last.
Reply With Quote
  #5  
Old July 6th, 2009, 07:22 AM
Super Member
 
Join Date: Mar 2008
Posts: 518
Country:
Thanks: 23
Thanked 235 Times in 199 Posts
awkward is just really niceawkward is just really niceawkward is just really niceawkward is just really niceawkward is just really nice
Default

Quote:
Originally Posted by morganfor View Post
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace? Is it still 4/52? Thanks!
In the absence of any additional information (such as knowledge of the number of aces dealt previously), the probability that the last card dealt will be an ace is 4/52.
Reply With Quote
The following users thank awkward for this useful post:
Donate to MHF
  #6  
Old July 6th, 2009, 07:26 AM
CaptainBlack's Avatar
Grand Panjandrum
 
Join Date: Nov 2005
Location: South of England
Posts: 12,240
Country:
Thanks: 776
Thanked 3,980 Times in 3,212 Posts
CaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond reputeCaptainBlack has a reputation beyond repute
Default

Quote:
Originally Posted by morganfor View Post
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace? Is it still 4/52? Thanks!
Yes.

CB
Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are Off
Refbacks are Off
Forum Jump


All times are GMT -7. The time now is 07:35 PM.


Powered by vBulletin® Version 3.7.3
Copyright ©2000 - 2010, Jelsoft Enterprises Ltd.
SEO by vBSEO 3.2.0 ©2008, Crawlability, Inc.
©2005 - 2009 Math Help Forum


Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.