document.write( "Question 1191355: One state’s lottery consists of a person choosing 5 different numbers, each between 1-50. Find the probability of matching all five numbers if…
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Algebra.Com's Answer #823172 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "One state’s lottery consists of a person choosing 5 different numbers, each between 1-50.
\n" ); document.write( "Find the probability of matching all five numbers if…
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\n" ); document.write( "b) order does not matter
\n" ); document.write( "*Please use the P(A)=number of outcomes in event A/total numbers of outcomes formula*
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document.write( "(a) If the order matters, then \r\n" );
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document.write( "        total numbers of outcomes = 50*49*48*47*46 = 254251200    \r\n" );
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document.write( "            (the product of 5 consecutive integer numbers in descending order, starting from 50);\r\n" );
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document.write( "        number of favorable outcomes = 1.\r\n" );
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document.write( "        The probability is  P = .    ANSWER\r\n" );
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document.write( "(b)  If the order does not matter, then\r\n" );
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document.write( "        total numbers of outcomes =  =  = 2118760  \r\n" );
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document.write( "            (the number of combinations of 50 items taken 5 at a time);\r\n" );
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document.write( "        number of favorable outcomes = 1.\r\n" );
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document.write( "        The probability is  P = .      ANSWER\r\n" );
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