document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352138>Question 352138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a card is taken at random from a pack of cards and replaced. A second card is drawn. The probability of a diamond being drawn is one quarter. What is the probability that exactly one card is a diamond? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251650 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "*Note: exactly one card being a diamond: the other one chosen would not be a diamond.\r<BR>\n" );
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document.write( "The probability of a diamond being drawn is 1/4 or .25<BR>\n" );
document.write( "The probability of a card not being a diamond is 3/4 or .75<BR>\n" );
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document.write( "The probability of x successes in n trials is: <BR>\n" );
document.write( "P = nCx* <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%5Ex ALIGN=MIDDLE  ALT=\"p%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%5E%28n-x%29 ALIGN=MIDDLE  ALT=\"q%5E%28n-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where p and q are the probabilities of success and failure respectively. <BR>\n" );
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document.write( "nCx = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%21%2F%28x%21%28n-x%29%21%29 ALIGN=MIDDLE  ALT=\"n%21%2F%28x%21%28n-x%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "Of the two drawn(replacing the first), the probability of exactly one card of the two being a diamond is:<BR>\n" );
document.write( "2C1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%21%2F%281%21%2A0%21%29%21=+1+ ALIGN=MIDDLE  ALT=\"+2%21%2F%281%21%2A0%21%29%21=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "P= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2A.25%5E1%2A.75%5E1 ALIGN=MIDDLE  ALT=\"1%2A.25%5E1%2A.75%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > =.1875 </SPAN>\n" );
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