document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462475>Question 462475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP ME, I posted this problem once, and no one responded, can you help me? <BR>\n" );
document.write( "which pair has equally likley outcomes?  list the letters of the two choices below which have equal probabilities of success.<BR>\n" );
document.write( "a)drawing a red seven out of a standard 52 card deck given its not a face card or an ace.<BR>\n" );
document.write( "b)drawing a five out of a standard 52 card deck given its not a face card or an ace.<BR>\n" );
document.write( "c)rolling a sum of 4 on two fair six sided dice.<BR>\n" );
document.write( "d)rolling a sum of 5 on two fair six sided dice.<BR>\n" );
document.write( "e)rolling a sum of 7 on two fair six sided dice. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317041 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> --------------------------<BR>\n" );
document.write( "a)drawing a red seven out of a standard 52 card deck given its not a face card or an ace.<BR>\n" );
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document.write( "P(red 7|not face or ace) = P(not face or ace AND red 7) / P(not face or ace)<BR>\n" );
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document.write( "P(red seven AND not face or ace) = 2/52 because there are 2 red seven cards (red-diamond and red-heart) in the deck of 52 cards.<BR>\n" );
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document.write( "P(not face or ace) = 36/52 because there are 9*4=36 non-face or non-ace cards (2 through 10 of every suit) in a deck of 52 cards.<BR>\n" );
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document.write( "P(red 7|not face or ace) = (2/52) / (36/52) = 2/36<BR>\n" );
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document.write( "b)drawing a five out of a standard 52 card deck given its not a face card or an ace.<BR>\n" );
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document.write( "P(five|not face or ace) = P(not face or ace AND red 7) / P(not face or ace)<BR>\n" );
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document.write( "P(five AND not face or ace) = 4/52 because there are 4 fives (five-diamond, -heart, -club, and -spade) in the deck of 52 cards.<BR>\n" );
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document.write( "P(not face or ace) = 36/52 because there are 9*4=36 non-face or non-ace cards (2 through 10 of every suit) in a deck of 52 cards.<BR>\n" );
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document.write( "P(five|not face or ace) = (4/52) / (36/52) = 4/36<BR>\n" );
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document.write( "more coming soon!!!<BR>\n" );
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document.write( "c)rolling a sum of 4 on two fair six sided dice.<BR>\n" );
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document.write( "A good way to solve die rolling problems is to build a grid of possible dice sums.<BR>\n" );
document.write( "+  1  2  3  4  5  6<BR>\n" );
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document.write( "1| 2  3  4  5  6  7<BR>\n" );
document.write( "2| 3  4  5  6  7  8 <BR>\n" );
document.write( "3| 4  5  6  7  8  9<BR>\n" );
document.write( "4| 5  6  7  8  9 10<BR>\n" );
document.write( "5| 6  7  8  9 10 11<BR>\n" );
document.write( "6| 7  8  9 10 11 12<BR>\n" );
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document.write( "(hopefully, this lines up nicely in your browser (o:<BR>\n" );
document.write( "Now we can see count easily. <BR>\n" );
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document.write( "Events:<BR>\n" );
document.write( "E = rolling a sum of 4<BR>\n" );
document.write( "S = rolling any sum\r<BR>\n" );
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document.write( "There are 3 ways to roll a sum of 4 [(1+3, 3+1, 2+2)] and 36 ways to roll ANY sum. So the probability of our event is\r<BR>\n" );
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document.write( "P(E) = n(E) / n(S) = 3/36\r<BR>\n" );
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document.write( "Problems (d) and (e) use identical reasoning to (c). They will be good practice for you. Finish the problem by finding the two events with equal probabilities.<BR>\n" );
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document.write( "hope this helps! Feel free to contact me at math.in.the.vortex@gmail.com.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex<BR>\n" );
document.write( " </SPAN>\n" );
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