document.write( "Question 1127883: An irs person randomly selects 3 tax returns with out replacement from 47 returns of which 5 contain errors. What is the probability that she selects none of those containing errors? Answer in decimal form. \n" ); document.write( "

Algebra.Com's Answer #744357 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "An irs person randomly selects 3 tax returns $\"highlight%28cross%28with%29%29\"$ $\"highlight%28cross%28out%29%29\"$ without replacement from 47 returns of which 5 contain errors.
\n" ); document.write( " What is the probability that she selects none of those containing errors? Answer in decimal form.
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\n" ); document.write( "\n" ); document.write( "So, we have 47 items, in all.\r
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\n" ); document.write( "\n" ); document.write( "Of them, there are 5 special items.\r
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\n" ); document.write( "\n" ); document.write( "We select 3 arbitrary items from these 47 items.\r
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\n" ); document.write( "\n" ); document.write( "The question is: what is the probability that we select none of those 5 special items.\r
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document.write( "    In all, we can select   =  = 16215 different triples of 47 item, taking 3 at a time.\r\n" );
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document.write( "    It is the entire space of events.\r\n" );
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document.write( "    How many triples can we select avoiding these 5 special items ? - It means that we select triples \r\n" );
document.write( "    from  47-5 = 42 items of the complementary set.\r\n" );
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document.write( "    The number of these \"ideal\" (or favorable) triples is therefore   =  = 11480.\r\n" );
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document.write( "    Therefore, the probability under the question is   = 0.708 (with 3 correct decimal places),  or  70.8%.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Combinations, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Introduction to Combinations\r
\n" ); document.write( "\n" ); document.write( "    - PROOF of the formula on the number of Combinations\r
\n" ); document.write( "\n" ); document.write( "    - Problems on Combinations\r
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\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Combinatorics: Combinations and permutations\". \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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