document.write( "Question 1176469: There are 26 students in a class of which 14 are science majors. If a sample of 5 students is selected. Find the probability that 3 are science majors.\r
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Algebra.Com's Answer #803513 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Use the basic definition of probability: \r\n" ); document.write( " number of desirable outcomes\r\n" ); document.write( " P(desired outcome) = ---------------------------------\r\n" ); document.write( " total number of possible outcomes \n" ); document.write( "The total number of possible outcomes is the number of ways of choosing 5 of the 26 students on the class: 26 choose 5. \n" ); document.write( "The number of desirable outcomes is the number of ways of choosing 3 of the 14 science majors AND 2 of the other 12 students: (14 choose 3) times (12 choose 2). Note the AND means those two numbers of ways get multiplied. \n" ); document.write( "So the probability that 3 of the 5 chosen are science majors is \n" ); document.write( " \n" ); document.write( "Use a calculator.... \n" ); document.write( " \n" ); document.write( " |