document.write( "Question 314281: There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women? \n" ); document.write( "
Algebra.Com's Answer #224681 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There are 5 women and 7 men who are reporters for a magazine. There are 6 articles that need to be written. If 6 reporters are chosen at random to write the articles, what is the probability that 3 are men and 3 are women? \n" ); document.write( "--- \n" ); document.write( "# of ways to select 3 men: 7C3 = \n" ); document.write( "--- \n" ); document.write( "# of ways to select 3 women: 5C3 = \n" ); document.write( "------------------------------------------ \n" ); document.write( "# of ways to choose 6 randomly: 12C6 = 924 \n" ); document.write( "------------------------------------------ \n" ); document.write( "P(3 men and 3 women) = [35*10]/924 = 0.3788 \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " |