
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 5th, 2015, 12:37 PM  #1 
Newbie Joined: Mar 2015 From: USA Posts: 1 Thanks: 0  Probability of *not* guessing the right card in a 52card deck...
Hello. For some reason I'm having a hard time wrapping my mind around this and I can't figure out the answer. It's a question I just started wondering about. Say you have a 52card deck. You decide to try 52 times to guess the top card of the deck. After each attempt, you put the card back and shuffle the deck. What is the probability that, at the end of the 52 attempts, you guessed correctly 0 times? I know the probability of guessing the top card correctly 1 time out of those 52 attempts is, well, 1/52. But what about guessing correctly 0 times? 
March 5th, 2015, 12:56 PM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
The chance of guessing wrong in a particular attempt is 51/52. You do this 52 times, so the probability is (51/52)^52.  

Tags 
52card, card, deck, guessing, probability 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Complicated Card Probability  Rollsroyce  Probability and Statistics  8  October 9th, 2013 10:19 PM 
First and last card in a deck  thnake  Advanced Statistics  2  August 25th, 2013 09:40 AM 
Probability. A deck of card  hunnybee  Probability and Statistics  14  July 17th, 2011 07:29 PM 
A Card Probability  Erimess  Probability and Statistics  4  May 10th, 2011 10:14 PM 
"Pick a card, any card" probability question  Niko Bellic  Probability and Statistics  1  March 18th, 2010 02:15 PM 