My Math Forum Probability of *not* guessing the right card in a 52-card deck...
 User Name Remember Me? Password

 Probability and Statistics Basic Probability and Statistics Math Forum

 March 5th, 2015, 11:37 AM #1 Newbie   Joined: Mar 2015 From: USA Posts: 1 Thanks: 0 Probability of *not* guessing the right card in a 52-card 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 52-card 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, 11:56 AM   #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:
 Originally Posted by cbenson4 I know the probability of guessing the top card correctly 1 time out of those 52 attempts is, well, 1/52.
No, that's the chance of guessing the top card correctly one time in your first attempt. You're much more likely to get it in the first 52 attempts than your first attempt.

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

### gussing page no 52

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Rollsroyce Probability and Statistics 8 October 9th, 2013 09:19 PM thnake Advanced Statistics 2 August 25th, 2013 08:40 AM hunnybee Probability and Statistics 14 July 17th, 2011 06:29 PM Erimess Probability and Statistics 4 May 10th, 2011 09:14 PM Niko Bellic Probability and Statistics 1 March 18th, 2010 01:15 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.