document.write( "Question 1060351: There are 12 signs of the Zodiac: Aries, Taurus, Gemini, Cancer, Leo, Virgo, Libra, Scorpio, Sagittarius, Capricorn, Aquarius, and Pisces. Each sign corresponds to a different calendar period of approximately 1 month.
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document.write( "Assuming that a person is just as likely to be born under one sign as another, what is the probability that in a group of five people at least two of them were born under the sign of Aries?
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Algebra.Com's Answer #675321 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Find the probability of 0 or 1 person is born under the sign and subtract from 1. \n" ); document.write( "The probability of none is (11/12)^5=0.647. \n" ); document.write( "The probability of one is 5*(1/12)(11/12)^4=0.2942 (the 5 in front is the number of ways it can happen). \n" ); document.write( "The probability of two or more is 1-(0.941)=0.059. ANSWER \n" ); document.write( "----------------- \n" ); document.write( "Can check with looking at 2 \n" ); document.write( "10*(1/12)^2(11/12)^3=0.053 \n" ); document.write( "------------and 3 \n" ); document.write( "10*(1/12)^3)(11/12)^2=0.005 \n" ); document.write( "------------ and 4 \n" ); document.write( "5*(1/12)^4)(11/12)=0.0002 \n" ); document.write( "and 5 \n" ); document.write( "(1/12)^5=0.000004 \n" ); document.write( "This will add to 0.059 if taken out to enough decimal places. \n" ); document.write( " |