document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394723>Question 394723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sandy and Claude are playing a game in which there are 5 tiles in a bag, numbered 1 through 5. The game is played by the players taking turns pulling out a tile without replacing it. A player wins if they pull out the tile numbered \"3\". If Sandy goes first, what is the probability that she will win? <BR>\n" );
document.write( "choose the answer and explain the reason to choose your response<BR>\n" );
document.write( "50%<BR>\n" );
document.write( "45%<BR>\n" );
document.write( "75%<BR>\n" );
document.write( "60% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280056 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(sandy wins/she goes first)=0.6<BR>\n" );
document.write( "--<BR>\n" );
document.write( "reasoning<BR>\n" );
document.write( "on her first try, she has 1/5 chance of getting the \"3\" tile and wins <BR>\n" );
document.write( "if she does not get the \"3\" tile, then clause has 3/4 of not getting the \"3\" tile since there are only 4 tles left and the game can continue.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "On Sandy's second try, there are only 3 tiles left and for Sandy to get a second chance to win, she must of failed the first time 4/5 chance and Claude must of failed 3/4 chance and for Sandy to win in the second try she has 1/3 chance so Sandy can win on the second try with 4/5*3/4*1/3=1/5<BR>\n" );
document.write( "--<BR>\n" );
document.write( "If Sandy does not win of the second, she gets a third try if she failed on the first and Claude failed oh his first  and sandy failed on her second and cluade failed on his second and finally Sandy tries a 3rd time. This can happen by Sandy failing on first 4/5 chance, Claude failing first 3/4 chance, sandy failing on second 2/3 chance and claude failing on his second with 1/2 chance<BR>\n" );
document.write( "or 4/5*3/4*2/3*1/2=1/5<BR>\n" );
document.write( "after this there are no more tiles<BR>\n" );
document.write( "-<BR>\n" );
document.write( "So sandy wins by going first if she wins on the first try, or second try or 3rd try = 1/5+1/5+1/5=3/5=0.6<BR>\n" );
document.write( " </SPAN>\n" );
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