My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum


Reply
 
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 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?
cbenson4 is offline  
 
March 5th, 2015, 12:56 PM   #2
Global Moderator
 
CRGreathouse's Avatar
 
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 View Post
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.
CRGreathouse is offline  
Reply

  My Math Forum > High School Math Forum > Probability and Statistics

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





Copyright © 2019 My Math Forum. All rights reserved.