document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174529>Question 1174529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that Nasim will study for her test is 3/10. The probability that she'll pass if she studies is 9/10. The probability that she'll pass if she doesn't study is 2/10. What is the probability that she has studied, given that she passes? </SPAN>\n" );
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document.write( "Studying and not studying are complementary events, so P(study)=3/10 means P(not study)=7/10.  Then<br><BR>\n" );
document.write( "P(study and pass) = (3/10)(9/10) = 27/100<BR>\n" );
document.write( "P(not study and pass) = (7/10)(2/10) = 14/100<br><BR>\n" );
document.write( "P(pass) = 27/100+14/100 = 41/100<br><BR>\n" );
document.write( "P(pass|study) = (27/100)/(41/100) = 27/41<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );