My Math Forum  

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

Probability and Statistics Basic Probability and Statistics Math Forum

Thanks Tree1Thanks
  • 1 Post By mathman
LinkBack Thread Tools Display Modes
February 18th, 2019, 10:22 AM   #1
Joined: Feb 2019
From: London

Posts: 7
Thanks: 0

Labeling on bottles probability

Hi, I'm here to check if my answer to a question is right:

Anne asks her friend Sharon to label 4 bottles of perfume in her room, giving her a list which labels should be added to which bottle. Sharon loses the list and labels the bottles at random. When Anne returns she notices that each bottle contains the wrong label. What is the probability of this having happened?

I named the bottles A,B,C and D.
For each bottle to be matched with the wrong label the probability would be:
A - 3/4
B - 2/3
C - 1/2
D - 1/1

3/4 x 2/3 x 1/2 x 1/1 = 1/4

I got 1/4. Is this right and is there a different way of solving this question?

Last edited by Kieran1; February 18th, 2019 at 10:29 AM.
Kieran1 is offline  
February 18th, 2019, 01:26 PM   #2
Global Moderator
Joined: May 2007

Posts: 6,704
Thanks: 670

It is more complicated. Let A choose label B, B choose label C, and C chooses label A, then D is stuck with label D. In general for A the probability is 3/4, but for B the probability depends on whether or not A chose B, resulting in a probability 1 for B, etc.
Thanks from Kieran1
mathman is offline  

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

bottles, labeling, probability

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
[ASK] Exact Measure Using Two Bottles Monox D. I-Fly Geometry 9 July 11th, 2018 04:38 AM
Continuous probability; find probability density function rivaaa Advanced Statistics 5 November 5th, 2015 01:51 PM
Joint probability density function, probability token22 Advanced Statistics 2 April 26th, 2012 03:28 PM
Labeling Equations rainy cloud Applied Math 5 March 2nd, 2009 03:18 PM

Copyright © 2019 My Math Forum. All rights reserved.