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Probability and Odds

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I was discussing a coincidence with a good friend of mine. Both of us happened to have been married to our first spouses on the same day of the year (different years). I did some quick math and realized there are 365 x 2 possible combinations of our two anniversary dates. Making it 133,125 to 1 that this would happen between any two people meeting at random. However, I also realize that there is a 1 in 365 chance that I would meet someone with the same anniversary as me.

 

So is this a rare thing, 133,125 to 1 or a fairly common thing 1 in 365??

QUOTE (Texsox @ Aug 5, 2008 -> 07:41 AM)
I was discussing a coincidence with a good friend of mine. Both of us happened to have been married to our first spouses on the same day of the year (different years). I did some quick math and realized there are 365 x 2 possible combinations of our two anniversary dates. Making it 133,125 to 1 that this would happen between any two people meeting at random. However, I also realize that there is a 1 in 365 chance that I would meet someone with the same anniversary as me.

 

So is this a rare thing, 133,125 to 1 or a fairly common thing 1 in 365??

I was always intrigued by the birthday problem, where you would only need 23 people in a classroom to have a 50% that at least 2 of them shared a birthday, so I assume the odds of this are similar and it would be 1/365 for the 2 of you

AssHat is correct, it is the much more common 1 in 365. Just like the odds of rolling ANY two of the same numbers on a pair of dice is 1 in 6, rather than one in 36. The much bigger longshot is rolling two of a SPECIFIC, predetermined number - e.g., a 1 in (6*6) chance = 1 in 36 chance of rolling snake eyes. Similarly, the chances of you and your friend both being married on June 6th (a single specific day, not just any day) is 1 in (365•265) = 1 in 133,225.

 

Face it, Tex, aside from that spiffy short bus you used to ride to school, you ain't all that special.

 

:P

Edited by FlaSoxxJim

Probability tends to contradict "common sense" odds, as in the birthday example or the famous "Let's Make a Deal" door example.

QUOTE (StrangeSox @ Aug 5, 2008 -> 10:34 AM)
Probability tends to contradict "common sense" odds, as in the birthday example or the famous "Let's Make a Deal" door example.

 

Probability is common sense. Most people just don't have any. . .

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