document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1075831>Question 1075831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A container holds 15 pennies, 8 nickels, and 10 dimes. <BR>\n" );
document.write( "You will randomly select two coins without replacement. <BR>\n" );
document.write( "-->Fill in the probabilities on a tree diagram.<BR>\n" );
document.write( "      --> How many ways can you select the coins?<BR>\n" );
document.write( "      --> How many ways can you select exactly 1 nickel?<BR>\n" );
document.write( "      --> What is the probability that you select 2 pennies?<BR>\n" );
document.write( "      --> What is the probability that you select a dime and then a penny?\r<BR>\n" );
document.write( "\n" );
document.write( "I'm not sure if my answers are correct. I got 33 possible ways to select the coins. <BR>\n" );
document.write( "8 out of 33 ways to select exactly one nickel. <BR>\n" );
document.write( "35/176 probability that two pennies will be selected. <BR>\n" );
document.write( "25/176 probability that a dime and a penny are selected.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690540 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A container holds 15 pennies, 8 nickels, and 10 dimes. <BR>\n" );
document.write( "You will randomly select two coins without replacement. <BR>\n" );
document.write( "-->Fill in the probabilities on a tree diagram.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Here's the probability tree:\r\n" );
document.write( "\r\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C25%2C-11%2C11%2C%0D%0A%0D%0Aline%280%2C0%2C4%2C6.5%29%2C%0D%0Aline%280%2C0%2C4%2C0%29%2C%0D%0Aline%280%2C0%2C4%2C-6.5%29%2C%0D%0Aline%285%2C7%2C9%2C9%29%2C%0D%0Aline%285%2C7%2C9%2C7%29%2C%0D%0Aline%285%2C7%2C9%2C5%29%2C%0D%0Aline%285%2C0%2C9%2C2%29%2C%0D%0Aline%285%2C0%2C9%2C0%29%2C%0D%0Aline%285%2C0%2C9%2C-2%29%2C%0D%0Aline%285%2C-7%2C9%2C-5%29%2C%0D%0Aline%285%2C-7%2C9%2C-7%29%2C%0D%0Aline%285%2C-7%2C9%2C-9%29%2C%0D%0Alocate%284.5%2C7.4%2CP%29%2C%0D%0Alocate%284.5%2C.4%2CN%29%2C%0D%0Alocate%284.5%2C-6.6%2CD%29%2C%0D%0Alocate%289.3%2C9.5%2CP%29%2Clocate%2810%2C9.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%231%22%2Cprob=%2235%2F176%22%29%29%2C%0D%0Alocate%289.3%2C7.5%2CN%29%2Clocate%2810%2C7.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%232%22%2Cprob=%225%2F44%22%29%29%2C%0D%0Alocate%289.3%2C5.5%2CD%29%2Clocate%2810%2C5.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%233%22%2Cprob=%2225%2F176%22%29%29%2C%0D%0Alocate%289.3%2C2.5%2CP%29%2Clocate%2810%2C2.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%234%22%2Cprob=%225%2F44%22%29%29%2C%0D%0Alocate%289.3%2C0.5%2CN%29%2Clocate%2810%2C0.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%235%22%2Cprob=%227%2F132%22%29%29%2C%0D%0Alocate%289.3%2C-1.7%2CD%29%2Clocate%2810%2C-1.7%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%236%22%2Cprob=%225%2F66%22%29%29%2C%0D%0Alocate%289.3%2C-8.5%2CD%29%2Clocate%2810%2C-8.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%239%22%2Cprob=%2215%2F176%22%29%29%2C%0D%0Alocate%289.3%2C-6.5%2CN%29%2Clocate%2810%2C-6.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%238%22%2Cprob=%225%2F66%22%29%29%2C%0D%0Alocate%289.3%2C-4.5%2CP%29%2Clocate%2810%2C-4.5%2Cmatrix%281%2C3%2C%22%3C--outcome%22%2C%22%237%22%2Cprob=%2225%2F176%22%29%29%2C%0D%0Alocate%28.4-.7%2C4%2C%2215%2F33%22%29%2C%0D%0Alocate%28.4-.7%2C-3.5%2C%2210%2F33%22%29%2C%0D%0Alocate%282-.7%2C1%2C%228%2F33%22%29%2C%0D%0Alocate%286.2-.7%2C9.2%2C%2214%2F32%22%29%2C%0D%0Alocate%286.2-.7%2C2.2%2C%2215%2F32%22%29%2C%0D%0Alocate%286.2-.7%2C-4.7%2C%2215%2F32%22%29%2C%0D%0Alocate%287.3-.7%2C7.9%2C%228%2F32%22%29%2C%0D%0Alocate%287.3-.7%2C.9%2C%227%2F32%22%29%2C%0D%0Alocate%287.3-.7%2C-6.1%2C%228%2F32%22%29%2C%0D%0Alocate%287.3-.7%2C6.7%2C%2210%2F32%22%29%2C%0D%0Alocate%287.3-.7%2C-.4%2C%2210%2F32%22%29%2C%0D%0Alocate%287.3-.7%2C-7.2%2C%229%2F32%22%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r\n" );
document.write( "\r\n" );
document.write( "There are 9 outcomes.  The probability of each outcome\r\n" );
document.write( "is gotten by multiplying the probabilities along the two\r\n" );
document.write( "lines from the beginning of the tree to the outcome.\r\n" );
document.write( "\r\n" );
document.write( "For outcome #1, prob = (15/33)(14/32) which reduces to 35/176\r\n" );
document.write( "For outcome #2, prob = (15/33)(8/32) which reduces to 5/44\r\n" );
document.write( "For outcome #3, prob = (15/33)(10/32) which reduces to 25/176\r\n" );
document.write( "For outcome #4, prob = (8/33)(15/32) which reduces to 5/44\r\n" );
document.write( "For outcome #5, prob = (8/33)(7/32) which reduces to 7/132\r\n" );
document.write( "For outcome #6, prob = (8/33)(10/32) which reduces to 5/66\r\n" );
document.write( "For outcome #7, prob = (10/33)(15/32) which reduces to 25/176\r\n" );
document.write( "For outcome #8, prob = (10/33)(8/32) which reduces to 5/66\r\n" );
document.write( "For outcome #9, prob = (10/33)(9/32) which reduces to 15/176\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "      --> How many ways can you select the coins?<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">There are 9 outcomes</PRE><BR>\n" );
document.write( "      --> How many ways can you select exactly 1 nickel?<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">That's either outcome #2, #4, #6, or #8, that's 4 ways</PRE><BR>\n" );
document.write( "      --> What is the probability that you select 2 pennies?<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "That's outcome #1, probability = 35/176</PRE><BR>\n" );
document.write( "      --> What is the probability that you select a dime and then a penny?<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "That's outcome #7, probability = 25/176\r\n" );
document.write( "\r\n" );
document.write( "You got the hardest two right, and missed the two easy ones. lol\r\n" );
document.write( "\r\n" );
document.write( "Edwin</PRE> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );