document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614635>Question 614635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a box contains ten balls of like shape and size.  Three are red, two are white, and five are blue.  The balls are numbered from 1 to 10.  If the balls are drawn at random without replacement for each problem, find the following probabilities.<BR>\n" );
document.write( "P(one red)=<BR>\n" );
document.write( "P(two red)=<BR>\n" );
document.write( "P(one white)=<BR>\n" );
document.write( "P(one white, then one red)=<BR>\n" );
document.write( "P(number 6)=<BR>\n" );
document.write( "P(one ball with number > 5)=<BR>\n" );
document.write( "P(one ball with number < 4)=<BR>\n" );
document.write( "P(2 or 7)=<BR>\n" );
document.write( "P(one ball with an even number)=<BR>\n" );
document.write( "P(one ball even, then one ball odd)=<BR>\n" );
document.write( "P(red ball, then white ball, then blue ball)=<BR>\n" );
document.write( "P(1 and 2 and 3)=<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386644 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=386644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a box contains ten balls of like shape and size. Three are red, two are white, <BR>\n" );
document.write( "and five are blue. The balls are numbered from 1 to 10. If the balls are drawn at random without replacement for each problem, find the following probabilities.<BR>\n" );
document.write( "P(one red)= 3/10<BR>\n" );
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document.write( "P(two red)= 3C2/10C2 = 3/45 = 1/15<BR>\n" );
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document.write( "P(one white)= 2/10 = 1/5<BR>\n" );
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document.write( "P(one white, then one red)= (2/10)(3/9) = (1/5)(1/3) = 1/15<BR>\n" );
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document.write( "P(number 6) = 1/10<BR>\n" );
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document.write( "P(one ball with number > 5)= 5/10 = 1/2<BR>\n" );
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document.write( "P(one ball with number < 4)= 3/10<BR>\n" );
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document.write( "P(2 or 7)= 2/10 = 1/5<BR>\n" );
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document.write( "P(one ball with an even number)= 5/10 = 1/2<BR>\n" );
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document.write( "P(one ball even, then one ball odd)=(5/10)(5/9) = 5/18<BR>\n" );
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document.write( "P(red ball, then white ball, then blue ball)= (3/10)(2/9)(5/8) = 30/720 = 1/24<BR>\n" );
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document.write( "P(1 and 2 and 3)= (1/10)(1/9)(1/8) = 1/720<BR>\n" );
document.write( "============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );