document.write( "Question 1139017: What is the probability that out of a group of five people, at least two people have the same birthday? note assume that there are 365 days in a year \n" ); document.write( "
Algebra.Com's Answer #756802 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! Figure out the probability that NONE of the five people have the same birthday, then subtract this result from 1. \n" ); document.write( " \n" ); document.write( "Probability than NONE of the five people have the same birthday: \n" ); document.write( " \n" ); document.write( "365/365 * 364/365 * 363/365 * 362/365 * 361/365 = 0.9729 \n" ); document.write( " \n" ); document.write( "Probability that at least two people have the same birthday: \n" ); document.write( " \n" ); document.write( "1 - 0.9729 = 0.0271, or 2.71%. (That's about a 1 in 37 chance.) |