document.write( "Question 1139615: In a certain lottery, three numbered balls are randomly drawn from a large basket without replacement. To win, a player's ticket must have each of the numbers drawn in no particular order. The balls are numbered from one to one hundred. If Jack buys twenty-four tickets, what is the probability that he will win? \n" ); document.write( "
Algebra.Com's Answer #760188 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            In my post, I'd like to propose another solution.\r
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document.write( "We have 100 balls numbered from 1 to 100, inclusively; so we have 100 distinguishable balls.\r\n" );
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document.write( "Of them, we can form  \"C%5B100%5D%5E3\" = \"%28100%2A99%2A98%29%2F%281%2A2%2A3%29\" = 161700 different triples.\r\n" );
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document.write( "Jack's 24 tickets cover 24 such triples - so the probability to win for Jack is \r\n" );
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document.write( "    \"24%2F161700\" = 0.000148 = 0.0148%  (approximately).     ANSWER\r\n" );
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