document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763014>Question 763014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose that, of couples having children, in 2 percent both father and mother are left-handed, in 20 percent one is left handed, and in the rest neither is left handed. The chances of a child being left-handed are 1 in 2 if both parents are left handed, 1 in 6 if one parent is left handed, and 1 in 16 if neither parents is left handed. What is the probability that neither parent of a left handed child is left handed?\r<BR>\n" );
document.write( "\n" );
document.write( "1. What is a probability of a randomly chosen child being left handed? (Hint: the different events are mutually exclusive and we can apply the addition rule for mutually exclusive events) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464437 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose that, of couples having children, <BR>\n" );
document.write( "in 2 percent both father and mother are left-handed, <BR>\n" );
document.write( "in 20 percent one is left handed, <BR>\n" );
document.write( "in 78 percent neither is left handed.<BR>\n" );
document.write( "--------------------------------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "The chances of a child being left-handed are 1 in 2 <BR>\n" );
document.write( "P(left) = 1/3 if both parents are left handed, <BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "1 in 6 if one parent is left handed, <BR>\n" );
document.write( "P(left) = 1/7<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "and 1 in 16 if neither parents is left handed<BR>\n" );
document.write( "P(left) = 1/17<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "What is the probability that neither parent of a left handed child is left handed? <BR>\n" );
document.write( "1. What is a probability of a randomly chosen child being left handed? (Hint: the different events are mutually exclusive and we can apply the addition rule for mutually exclusive events)<BR>\n" );
document.write( "Ans: (1/3) + (1/7) + (1/17) = [(7*17) + (3*17) + (3*7)]/[3*7*17] = 89/357<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );