document.write( "Question 1148152: A committee of three people is selected at random from a set consisting of seven ​teachers, three parents of​ students, and six alumni.\r
\n" ); document.write( "\n" ); document.write( "a. What is the probability of the event that the committee consists of all​ teachers?
\n" ); document.write( "b. What is the probability of the event that the committee has no​ teachers?
\n" ); document.write( "

Algebra.Com's Answer #769510 by ikleyn(52800)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "(a)  The total set has 7+3+6 = 16 persons.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     The probability to select a teacher at the 1-st selection is  \"7%2F16\";\r\n" );
document.write( "\r\n" );
document.write( "     The probability to select a teacher at the 2-nd selection is  \"6%2F15\";\r\n" );
document.write( "\r\n" );
document.write( "     The probability to select a teacher at the 3-rd selection is  \"5%2F14\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Therefore, the answer to (a) is  the product  \"7%2F16\".\"6%2F15\".\"5%2F14\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     You compute it.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  By analogy, \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "          The probability to select no teacher at the 1-st selection is  \"9%2F16\",    (where 9 = 3 + 6)\r\n" );
document.write( "\r\n" );
document.write( "          The probability to select no teacher at the 2-nd selection is  \"8%2F15\";\r\n" );
document.write( "\r\n" );
document.write( "          The probability to select no teacher at the 3-rd selection is  \"7%2F14\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Again, you compute it.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved, answered, explained and completed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );