document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182296>Question 1182296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a particular bag of of skittles, there are 13 red, 12 orange, 10 green, 12 yellow, and 11 purple skittles.<BR>\n" );
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document.write( "1. Selecting a yellow skittle _______\r<BR>\n" );
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document.write( "2. Selecting a red or purple skittle ______\r<BR>\n" );
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document.write( "3. Not selecting a green skittle ______\r<BR>\n" );
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document.write( "4. Selecting two consecutive orange skittles _____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812306 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=812306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Problem 1\r<BR>\n" );
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document.write( "There are 12 yellow out of 13+12+10+12+11 = 58 total.\r<BR>\n" );
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document.write( "This forms the fraction 12/58 = (2*6)/(2*29) = <font color=red>6/29</font> which is the probality of selecting a yellow skittle.\r<BR>\n" );
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document.write( "Problem 2\r<BR>\n" );
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document.write( "We have 13 red + 11 purple = 24 skittles we want to select out of 58 total\r<BR>\n" );
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document.write( "24/58 = (2*12)/(2*29) = <font color=red>12/29</font> is the probability of selecting either a red or purple skittle (note the events are mutually exclusive).\r<BR>\n" );
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document.write( "Problem 3\r<BR>\n" );
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document.write( "There are 10 green and 58-10 = 48 non-green skittles.\r<BR>\n" );
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document.write( "48/58 = (2*24)/(2*29) = <font color=red>24/29</font> is the probability of selecting a skittle that isn't green.\r<BR>\n" );
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document.write( "Problem 4\r<BR>\n" );
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document.write( "This is assuming you aren't putting the first one back, or no replacement has been made. \r<BR>\n" );
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document.write( "12/58 represents the probability of selecting an orange skittle (12 orange out of 58 total)\r<BR>\n" );
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document.write( "11/57 is the probability of selecting another orange skittle (12-1 = 11 orange left, out of 58-1 = 57 total left)\r<BR>\n" );
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document.write( "Multiply the probabilities<BR>\n" );
document.write( "(12/58)*(11/57)<BR>\n" );
document.write( "(12*11)/(58*57)<BR>\n" );
document.write( "132/3306<BR>\n" );
document.write( "<font color=red>22/551</font> is the probability of selecting two orange skittles in a row (no replacement).<BR>\n" );
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