document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244669>Question 244669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please answer the following questions and explain how you derived each of your answer. <BR>\n" );
document.write( " Three students work independently on a homework problem.  <BR>\n" );
document.write( "The probability that the first student solves the problem is 0.95.  <BR>\n" );
document.write( "The probability that the second student solves the problem is 0.85.  <BR>\n" );
document.write( "The probability that the third student solves the problem is 0.80.  <BR>\n" );
document.write( "a.     What is the probability that all are able to solve the problem?<BR>\n" );
document.write( "b.   What is the probability that the first student solves the problem and the other two students do not?<BR>\n" );
document.write( " c.   What is the probability that none of the three students solves the problem?\r<BR>\n" );
document.write( "\n" );
document.write( "Can you help me understand how to understand probability word problems..<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 #178900 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=178900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please answer the following questions and explain how you derived each of your answer. <BR>\n" );
document.write( "Three students work independently on a homework problem. <BR>\n" );
document.write( "The probability that the first student solves the problem is 0.95. <BR>\n" );
document.write( "The probability that the second student solves the problem is 0.85. <BR>\n" );
document.write( "The probability that the third student solves the problem is 0.80. <BR>\n" );
document.write( "a. What is the probability that all are able to solve the problem?<BR>\n" );
document.write( "Since the events are independent, P(all solve) = 0.95*0.85*0.80 <BR>\n" );
document.write( "= 0.646<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "b. What is the probability that the first student solves the problem and the other two students do not?<BR>\n" );
document.write( "0.95*0.15*0.20 = 0.0285<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "c. What is the probability that none of the three students solves the problem?<BR>\n" );
document.write( "0.05*0.15*0.20 = 0.0015<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );