03-26-2004, 07:28 PM
Well, let's see. Given that there are 365 days a year, and all 500 registered users who posted their DoBs are NOT born on the leap day, we have 500-365=135 people who are guaranteed to share their birthday with someone else.
2 to the power of N-1, where N=total number of people -1
1 persons=(2 power of {1-1=}0)-1=0 pairs
2 persons=(2 power of {2-1=}1)-1=1 pairs
3 persons=(2 power of {3-1=}2)-1=3 pairs
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500 persons=(2 power of {500-1=}499)-1=(1.636695303948070935006594848414e+150)-1 possible pairs
So uhh, the odds of any one day being clear are pretty high, like I said. Easily 5%. Or maybe I've confused myself, and a lot of other posters as well? :P
2 to the power of N-1, where N=total number of people -1
1 persons=(2 power of {1-1=}0)-1=0 pairs
2 persons=(2 power of {2-1=}1)-1=1 pairs
3 persons=(2 power of {3-1=}2)-1=3 pairs
|
|
|
500 persons=(2 power of {500-1=}499)-1=(1.636695303948070935006594848414e+150)-1 possible pairs
So uhh, the odds of any one day being clear are pretty high, like I said. Easily 5%. Or maybe I've confused myself, and a lot of other posters as well? :P