document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087910>Question 1087910</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the probability of getting \"A\" on your math final exam is 1/6 . the probability of an \"A\" on your English final exam 2/3. Find\r<BR>\n" );
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document.write( "a) the probability of getting an \"A\" in math and an \"A\" in english. \r<BR>\n" );
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document.write( "b) the probability of getting an \"A\" in math or an \"A\" in English. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702196 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=702196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">Let,<BR>\n" );
document.write( "M = event that you get an \"A\" in math<BR>\n" );
document.write( "E = event that you get an \"A\" in English\r<BR>\n" );
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document.write( "These two events are independent from one another\r<BR>\n" );
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document.write( "Part a)\r<BR>\n" );
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document.write( "P(M) = probability you get an \"A\" in math (ie probability that event M occurs)<BR>\n" );
document.write( "P(M) = 1/6\r<BR>\n" );
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document.write( "P(E) = probability you get an \"A\" in English (ie probability that event E occurs)<BR>\n" );
document.write( "P(E) = 2/3\r<BR>\n" );
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document.write( "P(M and E) = probability you get an \"A\" in math, and an \"A\" in english (probability both events occur)<BR>\n" );
document.write( "P(M and E) = P(M)*P(E) ... only works because M and E are independent events<BR>\n" );
document.write( "P(M and E) = (1/6)*(2/3)<BR>\n" );
document.write( "P(M and E) = (1*2)/(6*3)<BR>\n" );
document.write( "P(M and E) = (1*2)/(18)<BR>\n" );
document.write( "P(M and E) = (1*2)/(9*2)<BR>\n" );
document.write( "P(M and E) = <font color=red size=4>1/9</font>\r<BR>\n" );
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document.write( "The probability of getting an \"A\" in math and an \"A\" in English is <font color=red size=4>1/9</font> which is in fraction form (note: 1/9 = 0.111 = 11.1% approximately)\r<BR>\n" );
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document.write( "Part b)\r<BR>\n" );
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document.write( "P(M or E) = P(M) + P(E) - P(M and E)<BR>\n" );
document.write( "P(M or E) = (1/6) + (2/3) - (1/9)<BR>\n" );
document.write( "P(M or E) = (1/6)*(3/3) + (2/3)*(6/6) - (1/9)*(2/2)<BR>\n" );
document.write( "P(M or E) = (3/18) + (12/18) - (2/18)<BR>\n" );
document.write( "P(M or E) = (3+12-2)/18<BR>\n" );
document.write( "P(M or E) = <font color=red size=4>13/18</font>\r<BR>\n" );
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document.write( "The probability of getting an \"A\" in math, or an \"A\" in English is the fraction <font color=red size=4>13/18</font> (note: 13/18 = 0.722 = 72.2% approximately)\r<BR>\n" );
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document.write( "The keyword \"Or\" here means that we can pick one event or the other, but not both at the same time. </font> </SPAN>\n" );
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