document.write( "Question 1028530: There are 20 people in a room, and each of the 20 writes down an integer at random from 1-100 inclusive. Find the probability that at least two people wrote down the same number. Express your answer as a decimal rounded to four significant digits.\r
\n" ); document.write( "\n" ); document.write( "This is not so complicated; however, how do I \"determine the probability of AT LEAST TWO PEOPLE\" drawing the same number?\r
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\n" ); document.write( "\n" ); document.write( "By the way, the answer is 0.8696 \n" ); document.write( "

Algebra.Com's Answer #643616 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "There are 20 people in a room, and each of the 20 writes down an integer at random from 1-100 inclusive. Find the probability that at least two people wrote down the same number. Express your answer as a decimal rounded to four significant digits.\r
\n" ); document.write( "\n" ); document.write( "This is not so complicated; however, how do I \"determine the probability of AT LEAST TWO PEOPLE\" drawing the same number?\r
\n" ); document.write( "\n" ); document.write( "Thank you in advance!!\r
\n" ); document.write( "\n" ); document.write( "By the way, the answer is 0.8696
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document.write( "1.  The full set of outputs is the set of all functions defined on 20 points and taking 100 values. The cardinality of this set is N = .\r\n" );
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document.write( "2.  In how many ways can 20 people write 20 different numbers?\r\n" );
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document.write( "    Take  and multiply by 20!: you will get the number of ways\r\n" );
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document.write( "    M = 100*99*98* . . . *82*81.\r\n" );
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document.write( "3. Now the probability under the question is\r\n" );
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document.write( "    .\r\n" );
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document.write( "   It is the same as this number .\r\n" );
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