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May 1st, 2018, 09:40 AM  #1 
Newbie Joined: May 2018 From: United States Posts: 3 Thanks: 0  Question for Odds
Hi I'm in need of some Math geniuses to help me out with a question. I'm sure I will mess this question up so I apologize. Question: What are the odds that 2 Strangers, living in a population of 250, would move every 2 years to same new Counties, for 8 years. The counties all have about 1,000,000 population. I'm sure this is going to need many variables to determine odds, but is there an equation before adding variables that I could use first? 
May 1st, 2018, 10:22 AM  #2 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,921 Thanks: 883  
May 1st, 2018, 01:00 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,560 Thanks: 605 
How many counties are there? Are you asking about 2 specific strangers or just any people moving?

May 2nd, 2018, 05:00 AM  #4 
Newbie Joined: May 2018 From: United States Posts: 3 Thanks: 0 
5 Counties in all the first County being 250 where started. 1,000,000 in the other 4. Let me know what other Variable is neccessary. Thanks for any help.

May 2nd, 2018, 01:51 PM  #5 
Global Moderator Joined: May 2007 Posts: 6,560 Thanks: 605 
"2 strangers in a population of 250". Are you asking about 2 particular people or just any pair? Are all people moving? Are all people strangers to each other? You need to clarify what you intended.

May 2nd, 2018, 02:06 PM  #6 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,921 Thanks: 883 
PLUS WHY is the population of the counties important ? This is either a badly worded problem or a joke... 
May 3rd, 2018, 04:34 AM  #7 
Newbie Joined: May 2018 From: United States Posts: 3 Thanks: 0 
I'm sorry it is badly worded. I'm just trying to get a simple method of calculating the odds of 2 people who don't know each other and never meet following the same path at the same time, 6 times in a row.

May 3rd, 2018, 07:50 AM  #8  
Senior Member Joined: Sep 2015 From: USA Posts: 2,042 Thanks: 1063  Quote:
The probability that such a set of moves would happen by chance is infinitesimal.  
May 3rd, 2018, 08:24 AM  #9 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,921 Thanks: 883  

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