document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218188>Question 218188</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A collection of 24 colored beads in a jar consists of just three colors in the ratio of 1:2:3. The probability of randomly  selecting, without replacement, a blue bead on each of the first  two selections is 7/69 . How many blue beads were in the jar originally? </SPAN>\n" );
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document.write( "ratio of 1:2:3. The probability of randomly  selecting, without replacement, a blue bead on each of the first  two selections is 7/69 . How many blue beads were in the jar originally?<BR>\n" );
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document.write( "x + 2x + 3x = 24<BR>\n" );
document.write( "6x = 24<BR>\n" );
document.write( "------<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "2x= 8<BR>\n" );
document.write( "3x= 12<BR>\n" );
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document.write( "P(1st two selections) = (4/24)(3/23) = 1/46<BR>\n" );
document.write( "P(1st two selections) = (8/24)(7/23) = 7/69<BR>\n" );
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document.write( "So the number of blue beads is 8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );