document.write( "Question 1204334: In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn, the player wins the second prize. What is the probability of winning this prize? \n" ); document.write( "

Algebra.Com's Answer #840503 by ikleyn(52866) $\"\"$ $\"About$

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\n" ); document.write( "In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches those drawn,
\n" ); document.write( "the player wins the second prize. What is the probability of winning this prize?
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\n" ); document.write( "\n" ); document.write( "        Similar problem (a TWIN) was solved at this forum several years ago: see the link\r
\n" ); document.write( "\n" ); document.write( "        https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1061914.html\r
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\n" ); document.write( "\n" ); document.write( "        So, I will follow this solution, by modifying it, where it is needed.\r
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document.write( "           Solution\r\n" );
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document.write( "# of groups of 6 numbers:: 48C6\r\n" );
document.write( "# of winning groups of 6 numbers:: 1\r\n" );
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document.write( "# of sets of 5 numbers in the winning set:: 6C5 = 6.\r\n" );
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document.write( "P(getting a winning set of 5) = (6C5)/(48C6) = 6/12271512 = 4.88937E-07.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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