document.write( "Question 1178541: A.) Grand prize for a lottery is choosing 6 numbers correctly out of 47 (order does not matter). What is the probability of winning this lottery? \r
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Algebra.Com's Answer #807831 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "A.) Grand prize for a lottery is choosing 6 numbers correctly out of 47 (order does not matter). What is the probability of winning this lottery?
\n" ); document.write( "B.) If you choose 6 numbers out of 47 and 5 are chosen correctly you win second prize. What is this probability?
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document.write( "(A)  The winning first prize is choosing a subset of 6 numbers correctly from the set of 47 numbers, without looking the order.\r\n" );
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document.write( "          P =  =  = 9.31309E-08.         ANSWER\r\n" );
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document.write( "(B)  To win the second prize, there are   = 6*41  favorable sets of 6 numbers\r\n" );
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document.write( "     (indeed, from winning 6 numbers, we can form   = 6 subsets of 5 good numbers and then add \r\n" );
document.write( "      to each of these subsets of 5 good numbers any of remaining  41  BAD numbers).\r\n" );
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document.write( "     So, the probability to win the second prize is then\r\n" );
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document.write( "         P =  =  =  = 2.29102E-05.     ANSWER\r\n" );
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