document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049992>Question 1049992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If one card is drawn from a deck, find the probability of getting the following result:<BR>\n" );
document.write( "A 6 or a spade\r<BR>\n" );
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document.write( "hearts:   (1/52)<BR>\n" );
document.write( "clubs:    (1/52)<BR>\n" );
document.write( "spades:   (13/52) 6 is also included in the spades suite<BR>\n" );
document.write( "diamonds: (1/52)<BR>\n" );
document.write( "This totals 16 cards.<BR>\n" );
document.write( "P of getting a 6 (1/52) + (1/52) + (1/52) = (3/52) <BR>\n" );
document.write( "P of getting a spade = (13/52)<BR>\n" );
document.write( "(3/52) + (13/52) = 16/52 = 4/13\r<BR>\n" );
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document.write( "Is this answer correct? Is it correct to reduce 16/52 to 4/13?<BR>\n" );
document.write( "I understand that 6 is included in the spades suite so I just excluded the 4th 1/52 for 6 but somehow I feel like I should have included this 1/52\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665633 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you want the probabililty of getting a 6 or a spade.\r<BR>\n" );
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document.write( "the probability of getting  a 6 is 4/52.\r<BR>\n" );
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document.write( "the probability of getting a spade is 13/52.\r<BR>\n" );
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document.write( "the probability of getting a 6 and a spade at the same time is 1/52.<BR>\n" );
document.write( "that would be the 6 of spades.\r<BR>\n" );
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document.write( "p(a or b) = p(a) + p(b) - p(a and b).\r<BR>\n" );
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document.write( "you get p(a or b) = 4/52 + 13/52 - 1/52.\r<BR>\n" );
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document.write( "this becomes p (a or b) = 16/52 which can be simplified to 4/13.\r<BR>\n" );
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document.write( "this looks like the answer you arrived at without using the formula i showed you above.\r<BR>\n" );
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document.write( "let's look at what you did.\r<BR>\n" );
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document.write( "you did:\r<BR>\n" );
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document.write( "If one card is drawn from a deck, find the probability of getting the following result:<BR>\n" );
document.write( "A 6 or a spade <BR>\n" );
document.write( "hearts: (1/52) ***** you mean one 6 of hearts i presume.<BR>\n" );
document.write( "clubs: (1/52) ***** you mean one 6 of clubs i presume.<BR>\n" );
document.write( "spades: (13/52) 6 is also included in the spades suite ***** correct.<BR>\n" );
document.write( "diamonds: (1/52) ***** you mean one 6 of diamonds i presume.<BR>\n" );
document.write( "This totals 16 cards ***** correct.<BR>\n" );
document.write( "P of getting a 6 = (1/52) + (1/52) + (1/52) = (3/52) ***** correct - this does not include the 6 of spades.<BR>\n" );
document.write( "P of getting a spade = (13/52) ***** correct - this includes the 6 of spades.<BR>\n" );
document.write( "(3/52) + (13/52) = 16/52 = 4/13 ***** correct -it's ok to simplify the fraction.\r<BR>\n" );
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document.write( "your approach was logical and correct even though you didn't use the formula shown above.\r<BR>\n" );
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