What's The Probability?



24022015, 09:11 PM




RE: What's The Probability?
(24022015 08:09 AM)DLJ Wrote: Warning for Anj: My son (who loves math) blithely said he would have asked the Chinese dude. I know there's a high probability like 70% chance with 30 random people two or more will have the same month and day of birth. The odds go waaaaay down if you add in year. But the odds of having the three of you randomly seated together on the same row... That's like wow. But as if to knock me down, reality came around And without so much as a mere touch, cut me into little pieces 

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25022015, 12:15 AM




RE: What's The Probability?
(24022015 09:11 PM)Momsurroundedbyboys Wrote: The odds go waaaaay down if you add in year. But the odds of having the three of you randomly seated together on the same row... Nah, not so big deal. Coincidences happen all the time, we cherrypick and remember the ones that seem to stand out. Sure, the probability of *that particular coincidence* happening is small, but our brains are looking for meaning and coincidence *all the time*. 

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25022015, 05:43 AM




RE: What's The Probability?
Thanks FC, that was terrific (also terrifying!)
I'm regretting not asking all the other passengers now. 

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25022015, 06:31 AM




RE: What's The Probability?
Quote:My son (who loves math) blithely said he would have asked the Chinese dude. That kid is gonna go far in life MomSBB. Good job. 

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25022015, 08:10 AM




RE: What's The Probability?
(24022015 12:48 PM)Stevil Wrote: If you have a person to your right and one to your left then it is 2/365 which is 1/182.5 I don't think this is right, but I haven't taken stats in a while. The likelihood of a getting three of a kind is far less than two of kind, or just drawing any one card. The likelihood of 3 random people having different birthdays would be, about 99.18% (365/365) * (364/365) * (363/365) = 99.18%. So the likelihood of having the same birthday would be about 0.82%. I'm not too sure how to extend this further, by calculating the chances that all three of these individuals would be seated next to each other, given the probabilities of any given combination, but I would think it would be bordering on lottery probabilities at this point. But like I said it's been awhile since I had to work through problems like this, so I'm sure there are folks here far more capable of doing the math than I am. *nvm it looks like full circle did the work already. 

25022015, 08:15 AM




RE: What's The Probability?
Don't forget all male too.
Blood type? Handedness? Eye color?..... 

25022015, 08:20 AM




RE: What's The Probability?
A few years ago people were sandblasting our swimming pool prior to retiling it. What's the probability of getting *a* particular grain of sand in your eye? Miniscule right? But if you're not wearing safety goggles, the probability of getting *some* grain of sand in your eye is 1.
It's the same with this coincidence. Stuff happens all the time. The probability of any one configuration happening is miniscule but the probability that *something* happens is 1. And then along comes monkey with pattern recognizing brain and looks at all the things that happen, picks out the ones that seem *waaay* improbable, and says "Holy shit! Coincidence!" Say a DNA paternity test is so accurate that the probability is 1 in a million that a match will be declared if in fact there is no match. Now it's rolled out across the world as *the* paternity test and a billion people use it. 5000 people will be incorrectly identified by this soamazing test. Small probabilities when amplified by large numbers of test cases result in "coincidences" that ain't so surprising 

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25022015, 12:48 PM




RE: What's The Probability?
(25022015 08:10 AM)Tomasia Wrote:I was giving the odds of two people with same birthday sitting next to each other. The odds of three, given that you only get three seat rows is 1/365 X 1/ 365 which equals 1/133,225 then if the plane was full, you would divide that by the amount of three seat rows that are on the plane. If the plane isn't 100% full, you would need to make a statistical probability for how many three seat rows would be full.(24022015 12:48 PM)Stevil Wrote: If you have a person to your right and one to your left then it is 2/365 which is 1/182.5 It's not of miracle proportions given that millions of people fly, it probably happens quite often, just not quite often to me. 

27022015, 10:46 PM




RE: What's The Probability?
(24022015 12:42 PM)ScatteredThoughts Wrote: I'm lazy and also suck at the maths, so I just searched a bit until I found this: 100% is an absolute. This is obviously a result that is based on rounding after some digit, but It much prefer it be displayed to their nearest reckoning, e.g. 99.99999 %. It is perfectly possible (theoretically) , however unlikely, that of the ~7 billion people on the planet that only one person was born on a particular day. There is another problem with figuring this out as well; calculators and equations cannot accurately account for the true solar days. The reason why I say cannot is that each day is slightly different in length and we can only measure how different to a particular degree. Humans, for the most part, calculate our days using a 24 hour (or equivalent for systems that measure hours differently that 60 minute; 60 second systems) day. Using the Gregorian Calendar we also have leap days every four years to help keep our calendars more accurate, but that isn't completely accurate either. I predict in the relatively near future we will use "True Solar Time" and a more accurate Solar Calendar will naturally follow. While the Gregorian Calendar is a Solar Calendar, it is a lot less accurate than we have the technology to make. As internetbased clocks become the standard you will see this change. In the meantime days of birth will be occasionally wrong technically speaking from what is generally accepted. As an anecdote I have an Uncle and cousin who share the birth date of 29 February. 

27022015, 10:51 PM




RE: What's The Probability?
(27022015 10:46 PM)Dark Light Wrote:(24022015 12:42 PM)ScatteredThoughts Wrote: I'm lazy and also suck at the maths, so I just searched a bit until I found this: As a kid we had babysitters who are identical twins who were born on Leap Day. My wedding anniversary is Leap Day. My aunt and uncle (married, not twins) were both born on July 4th. See here they are, the bruises, some were selfinflicted and some showed up along the way. JF 

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