
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 6th, 2017, 07:43 AM  #1 
Newbie Joined: Nov 2017 From: San Diego, CA Posts: 1 Thanks: 0  Probability problem
I need help with my homework problem: Suppose there are two closed boxes. In each box are two coins; one box contains two gold coins, the other contains one gold coin and one silver coin. A coin will be drawn from one of these two boxes. Assume that each box has an equal chance of being chosen, and that within each box, each coin has an equal chance of being chosen. When the coin is drawn, it turns out to be gold. What is the probability that the other coin in the same box is gold? 
November 6th, 2017, 08:37 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,975 Thanks: 1026 
There are two boxes, label the one w/2 gold coins $GG$ and the one with one gold, one silver coin $GS$ $P[GG] = P[GG \wedge GS]P[GS] + P[GG \wedge GG]P[GG] = (0)(1/2) + (1)(1/2) = 1/2$ 
November 6th, 2017, 12:47 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,524 Thanks: 588 
Number the coins 14, where 1 and 2 are gold in box 1, while 3 is gold in box 2 and 4 is silver in box 2. choose 1 other is gold choose 2 other is gold choose 3 other is silver choose 4  not gold Net result  probability other coin is gold is 2/3. 

Tags 
probability, problem 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Probability Problem / Insurance problem  bsjmath  Advanced Statistics  2  March 1st, 2014 02:50 PM 
Probability Problem  swickedman  Advanced Statistics  2  March 29th, 2013 12:51 PM 
Problem on probability  soniclavier  Advanced Statistics  8  June 13th, 2012 03:51 AM 
Probability problem  lynn0218  Probability and Statistics  2  February 13th, 2010 11:55 PM 
A Probability Problem  Djelorean  Algebra  3  September 17th, 2007 03:09 PM 