document.write( "Question 1192084: 7. A class of 16 pupils consist of 10 girls, 3 of whom are left-handed, and 6 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist of
\n" ); document.write( "i. One girl and one boy
\n" ); document.write( "ii. One girl who is left-handed and one boy who is left-handed.
\n" ); document.write( "iii. Two left- handed pupils.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #823985 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "7. A class of 16 pupils consist of 10 girls, 3 of whom are left-handed,
\n" ); document.write( "and 6 boys, only one of whom is left-handed.
\n" ); document.write( "The two pupils are to be chosen at random from the class to act as monitors.
\n" ); document.write( "Calculate the probabilities that the chosen pupils will consist of
\n" ); document.write( "a. One girl and one boy
\n" ); document.write( "b. One girl who is left-handed and one boy who is left-handed.
\n" ); document.write( "c. Two left- handed pupils.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "(a)  The number of different pairs of pupils is   = 8*15 = 120.\r\n" );
document.write( "\r\n" );
document.write( "     The number of different pairs (girl,boy) is 10*6 = 60.\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the probability that an arbitrary pair will consist of a boy and a girl is\r\n" );
document.write( "\r\n" );
document.write( "          P =  =  = 0.5 = 50%.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  The number of different pairs (left-handed girl,left-handed boy) is 3*1 = 3.\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the probability that an arbitrary pair will consist of a left-handle girl and a left handled boy is\r\n" );
document.write( "\r\n" );
document.write( "          P =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(c)  The total of left handed pupils is 3+1 = 4.  The number of left-handled pairs is   = 2*3 = 6.\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the probability that an arbitrary pair will consist of left-handled pupils is\r\n" );
document.write( "\r\n" );
document.write( "          P =  = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );