document.write( "Question 1128752: Alice and Bill are planning to have three children. (Assume that it is equally likely for a boy or a girl to be born.) \r
\n" ); document.write( "\n" ); document.write( "What is the probability that not all three will be of the same gender? \n" ); document.write( "

Algebra.Com's Answer #745229 by ikleyn(52835) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "For 3 children, there are   = 8 possibilities of their gender combinations.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Of them, there are only two to have all three children of the same gender:  BBB  and/or  GGG\r\n" );
document.write( "(B = Boy, G = girl).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the probability to have all three children of the same gender is   = .    \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the probability NOT to have all three children of the same gender is the complement to it, i.e.  1 -  = .     ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Thanks to tutor @greenestamps for correction.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );