document.write( "Question 1160471: A history class is comprised of 8 female and 5 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places. \n" ); document.write( "

Algebra.Com's Answer #783760 by ikleyn(52785) $\"\"$ $\"About$

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document.write( "The answer is the ratio of two numbers.\r\n" );
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document.write( "The denominator is the number of all subsets of 8+5 = 13 persons, consisting of 3+2 = 5 persons;\r\n" );
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document.write( "    so; by the definition, it is the number of all combinations of 13 persons taken 5 at a time\r\n" );
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document.write( "         =  = 1287.\r\n" );
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document.write( "The numerator is the number of all subsets, consisting of 3 females and 2 males.\r\n" );
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document.write( "    We can select 3 females of 8 female students by   =  = 8*7 = 56 ways;\r\n" );
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document.write( "    We can select 2 males of 5 male students by   =  = 5*2 = 10 ways.\r\n" );
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document.write( "Finally, the probability under the question is this number\r\n" );
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document.write( "    P =  = 0.43512 = 43.512%.      ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On Combinations, see introductory 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
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on Permutations and Combinations\r
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\n" ); document.write( "\n" ); document.write( "On simple and simplest introductory lessons on Probability, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Solving probability problems using complementary probability \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - A True/False test \r
\n" ); document.write( "\n" ); document.write( "    - A multiple choice answers test\r
\n" ); document.write( "\n" ); document.write( "    - Typical probability problems from the archive \r
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