document.write( "Question 1183569: winning the jackpot in a particular lottery requires that you select three numbers between 1 and 61 and, in a separate drawing, you must also select the correct single number between 1 and 22 . Find the probability of winning the jackpot \n" ); document.write( "
Algebra.Com's Answer #813955 by ikleyn(52864)\"\" \"About 
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\n" ); document.write( "winning the jackpot in a particular lottery requires that you select three numbers between 1 and 61 and,
\n" ); document.write( "in a separate drawing, you must also select the correct single number between 1 and 22 .
\n" ); document.write( "Find the probability of winning the jackpot
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document.write( "Under the given conditions, there are  \r\n" );
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document.write( "    \"C%5B61%5D%5E3%2A22\" = \"%28%2861%2A60%2A59%29%2F%281%2A2%2A3%29%29%2A22\"  = 35990*22 = 792780\r\n" );
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document.write( "possible outcomes;  of them, only one is the winning outcome.\r\n" );
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document.write( "So, the probability to win is  P = \"1%2F%28C%5B61%5D%5E3%2A22%29\" = \"1%2F792780\" = 1.26138E-06.     ANSWER\r\n" );
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document.write( "The symbol  \"C%5B61%5D%5E3\"  is the number of combinations of 61 numbers taken 3 at a time.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This problem is on COMBINATIONS (plus the FUNDAMENATAL COUNTING PRINCIPLE).\r
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\n" ); document.write( "\n" ); document.write( "To learn these subjects,  see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Fundamental counting principle problems \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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