document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=655174>Question 655174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that machine A will break down on a particular day is P(A) = 1/50; similarly, for machine B, P(B) = 1/100.  Assuming independence, on a particular day,\r<BR>\n" );
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document.write( "a.	What is the probability that both will break down?<BR>\n" );
document.write( "b.	What is the probability that at most one will break down?<BR>\n" );
document.write( "c.	What is the probability that neither will break down?<BR>\n" );
document.write( "d.	What is the probability that one or the other will break down?<BR>\n" );
document.write( "e.	What is the probability that exactly one will break down?<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 #409134 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=409134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability that machine A will break down on a particular day is P(A) = 1/50; similarly, for machine B, P(B) = 1/100. Assuming independence, on a particular day, <BR>\n" );
document.write( "a. What is the probability that both will break down?z::(1/50)(1/100)= 1/5000<BR>\n" );
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document.write( "b. What is the probability that at most one will break down?<BR>\n" );
document.write( "::: 1 - 1/5000 = 4999/5000<BR>\n" );
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document.write( "c. What is the probability that neither will break down?::(49/50)(99/100) <BR>\n" );
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document.write( "d. What is the probability that one or the other will break down?::::<BR>\n" );
document.write( "(1/50)(99/100) + (1/100)(49/50<BR>\n" );
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document.write( "e. What is the probability that exactly one will break down?<BR>\n" );
document.write( "::: 1 - P(none break down) = 1 - (49/50)(99/100)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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