document.write( "Question 1150222: In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize?
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Algebra.Com's Answer #771581 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "The idea of the solution is vary simple.\r\n" );
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document.write( "First, we should calculate the number of all possible groups of 6 numbers, selected from  48 numbers.\r\n" );
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document.write( "      This number is   =  = 12271512.\r\n" );
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document.write( "Next we should calculate the number of all possible groups ot 6 numbers, that contain 4 particular numbers.\r\n" );
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document.write( "      This numbers is   =  = 946\r\n" );
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document.write( "(since we can combine any of 2 remained 48-4 = 44 numbers with 4 particular numbers).\r\n" );
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document.write( "Finally, the desired probability is the ratio  P =  = .    ANSWER\r\n" );
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