document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253037>Question 253037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person has applied for positions at Company A, Company B and Company C. The probability of obtaining an offer from company A is 0.4, Company B is 0.3 and Company C is 0.6 Assume that the three job offers are independent\r<BR>\n" );
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document.write( "a. what is the probability that the person will recieve job offers from all three companies<BR>\n" );
document.write( "b.what is the probability that the person will recieve a job offer from Company B only?<BR>\n" );
document.write( "C. what is the probability that the person will recieve exactly one job offer from the three companies?<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 #185252 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In general,\r<BR>\n" );
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document.write( "probability of A and B is equal to probability of A times probability of B.<BR>\n" );
document.write( "probability of A or B is equal to probability of A plus probability of B.\r<BR>\n" );
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document.write( "probability of getting a position at company A is equal to .4<BR>\n" );
document.write( "probability of getting a position at company B is equal to .3<BR>\n" );
document.write( "probability of getting a position at company C is equal to .6\r<BR>\n" );
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document.write( "probability of NOT getting a position at company A is equal to 1 - .4 = .6<BR>\n" );
document.write( "probability of NOT getting a position at company B is equal to 1 - .3 = .7<BR>\n" );
document.write( "probability of NOT getting a position at company C is equal to 1 - .6 = .4\r<BR>\n" );
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document.write( "a. what is the probability that the person will recieve job offers from all three companies.\r<BR>\n" );
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document.write( "probability of getting a job offer from all 3 companies is equal to:<BR>\n" );
document.write( "probability of getting a job offer from company A times:<BR>\n" );
document.write( "probability of getting a job offer from company B times:<BR>\n" );
document.write( "probability of getting a job offer from company C.\r<BR>\n" );
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document.write( "p(A) * p(B) *p(C) =  .4 * .3 * .6 = .072\r<BR>\n" );
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document.write( "b.what is the probability that the person will recieve a job offer from Company B only?\r<BR>\n" );
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document.write( "probability of getting a job offer from company B only is equal to:<BR>\n" );
document.write( "probability of getting a job offer from company B times:<BR>\n" );
document.write( "probability of NOT getting a job offer from company A times:<BR>\n" );
document.write( "probability of NOT getting a job offer from company C.\r<BR>\n" );
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document.write( "p(B) * p(!A) * p(!C) =  .3 * .6 * .4 = .072\r<BR>\n" );
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document.write( "C. what is the probability that the person will recieve exactly one job offer from the three companies?\r<BR>\n" );
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document.write( "the probability of getting a job offer from only one company is equal to:<BR>\n" );
document.write( "the probability of getting a job offer from A and not B and not C, plus:<BR>\n" );
document.write( "the probability of getting a job offer from B and not A and not C, plus:<BR>\n" );
document.write( "the probability of getting a job offer from C and not A and not B.\r<BR>\n" );
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document.write( "p(A) * p(!B) * p(!C) = .4 * .7 * .4 = .112<BR>\n" );
document.write( "p(B) * p(!A) * p(!C) = .3 * .6 * .4 = .072<BR>\n" );
document.write( "p(C) * p(!A) * p(!B) = .6 * .6 * .7 = .252\r<BR>\n" );
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document.write( "total probability = .112 + .072 + .252 = .436\r<BR>\n" );
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