document.write( "Question 630222: A committee of 4 women and 3 men need to select a chair person and a secretary. If every person is equally likely to be chosen, what is the probability that :
\n" ); document.write( "a) both positions are filled by women?
\n" ); document.write( "b) both positions are filled by men?
\n" ); document.write( "c) the chairperson is female and the secretary is male?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #396798 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A committee of 4 women and 3 men need to select a chair person and a secretary. If every person is equally likely to be chosen, what is the probability that :
\n" ); document.write( "a) both positions are filled by women?
\n" ); document.write( "Ans: 4C2/7C2 = 6/21 = 2/7
\n" ); document.write( "------------------
\n" ); document.write( "b) both positions are filled by men?
\n" ); document.write( "Ans: 3C2/7C2 = 3/21 = 1/7
\n" ); document.write( "-------------------------------
\n" ); document.write( "c) the chairperson is female and the secretary is male?
\n" ); document.write( "# of ways to succeed: 4*3 = 12
\n" ); document.write( "# of possible outcomes: 7*6
\n" ); document.write( "Prob = 12/42 = 6/21 = 2/7
\n" ); document.write( "------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );