document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091909>Question 1091909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two darts are thrown at the board below, if you get the same number twice, the second dart is removed and re-thrown. If you get 10 points or more, you win a prize.<BR>\n" );
document.write( "       5324<BR>\n" );
document.write( "       6128<BR>\n" );
document.write( "       5137<BR>\n" );
document.write( "       2122<BR>\n" );
document.write( "1) If a 4 was scored with the first dart, find P(Win)<BR>\n" );
document.write( "2)If a 3 was scored with the first dart, find P(Win)<BR>\n" );
document.write( "3)If a 2 was scored with the first dart, find P(Win)<BR>\n" );
document.write( "4)If an 8 was scored with the first dart, find P(Lose)<BR>\n" );
document.write( "Answer as a percentage- round to 1 d.p<BR>\n" );
document.write( "Can someone please help me?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706553 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>It took me several times looking at this problem before I could make sense out of it.  I think I understand now....<br><BR>\n" );
document.write( "The dart board is a 4x4 array of squares with the numbers you show in the squares.  You throw two darts; if the second one gets the same number as the first, you throw the second dart again.  You win if the sum of the two numbers is 10 or more.<br><BR>\n" );
document.write( "(1) Find P(win) if the first dart is 4.<br><BR>\n" );
document.write( "There is only one 4 on the board, so there are 15 squares you can hit with the second dart.  Of those 15, 3 have numbers large enough (6 or greater) that will give a combined score of 10 or more.  So P(win) = 3/15 = 1/5 = 20%<br><BR>\n" );
document.write( "(2) Find P(win) if the first dart is 3.<br><BR>\n" );
document.write( "There are two 3's on the board, so there are 14 squares you can hit with the second dart.  Of those 14, 2 have numbers large enough (7 or greater) that will give a combined score of 10 or more.  So P(win) = 2/14 = 1/7 = 14.3%<br><BR>\n" );
document.write( "(3) Find P(win) if the first dart is 2.<br><BR>\n" );
document.write( "There are five 2's on the board, so there are 11 squares you can hit with the second dart.  Of those 11, only 1 has a number large enough (8 or greater) that will give a combined score of 10 or more.  So P(win) = 1/11 = 9.1%<br><BR>\n" );
document.write( "(4) Find P(lose) if the first dart is 8.<br><BR>\n" );
document.write( "There is only one 8 on the board, so there are 15 squares you can hit with the second dart.  This time you want to lose, meaning you want a sum less than 10; of the 15 squares you can hit, 3 have a number small enough (it must be 1) that will give a combined score of less than 10.  So P(lose) = 3/15 = 1/5 = 20%<br> </SPAN>\n" );
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