document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191120>Question 1191120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I have an assignment I've been scratching my head about.\r<BR>\n" );
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document.write( "Person A sends messages every 16 minutes, Person B - every 16 minutes, Person C - every 14 minutes. What is the probability of receiving at least ONE message in the span of 6 minutes? JUST ONE message in the span of 6 minutes? And JUST TWO messages in the span of 6 minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822902 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "From the given conditions....<br><BR>\n" );
document.write( "P(A sends a message in a span of 6 minutes) = 6/16 = 3/8<BR>\n" );
document.write( "P(A does not send a message in a span of 6 minutes) = 5/8<BR>\n" );
document.write( "P(B sends a message in a span of 6 minutes) = 6/16 = 3/8<BR>\n" );
document.write( "P(B does not send a message in a span of 6 minutes) = 5/8<BR>\n" );
document.write( "P(C sends a message in a span of 6 minutes) = 6/14 = 3/7<BR>\n" );
document.write( "P(A does not send a message in a span of 6 minutes) = 4/7<br><BR>\n" );
document.write( "Then....<br><BR>\n" );
document.write( "P(only A sends a message in a span of 6 minutes) = (3/8)(5/8)(4/7) = 60/448<BR>\n" );
document.write( "P(only B sends a message in a span of 6 minutes) = (5/8)(3/8)(4/7) = 60/448<BR>\n" );
document.write( "P(only C sends a message in a span of 6 minutes) = (5/8)(5/8)(3/7) = 75/448<br><BR>\n" );
document.write( "ANSWER #1: P(receiving only 1 message in a span of 6 minutes) = 195/448<br><BR>\n" );
document.write( "P(A and B send a message in a span of 6 minutes) = (3/8)(3/8)(4/7) = 36/448<BR>\n" );
document.write( "P(A and C send a message in a span of 6 minutes) = (3/8)(5/8)(3/7) = 45/448<BR>\n" );
document.write( "P(B and D send a message in a span of 6 minutes) = (5/8)(3/8)(3/7) = 45/448<br><BR>\n" );
document.write( "ANSWER #2: P(receiving two messages in a span of 6 minutes) = 126/448<br><BR>\n" );
document.write( "Simplify the fraction answers or convert to decimals or percentages as required/desired.<br><BR>\n" );
document.write( " </SPAN>\n" );
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