document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176452>Question 1176452</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Arnold is a judge at a science fair that contains the following projects: 5 geology, 3 chemistry, 5 physics, and 2 biology projects.  The order in which he will judge the projects will be randomized.  What is the probability that the first two projects judged are_____?\r<BR>\n" );
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document.write( "a. a geology and then a chemistry project (answer: 1/14)<BR>\n" );
document.write( "b. a biology and then a physics project (answer: 1/21)<BR>\n" );
document.write( "c. two physics projects (answer: 1/3) </SPAN>\n" );
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document.write( "What do you not understand about this problem?  Solving it requires only basic concepts about probability....<br><BR>\n" );
document.write( "a. a geology project AND then a chemistry project are the first two to be judged<br><BR>\n" );
document.write( "There are 15 projects in all; 5 of them are geology, so the probability of judging a geology project first is 5/15.<br><BR>\n" );
document.write( "After that, there are 14 projects left, of which 3 are chemistry; the probability of judging a chemistry project second is 3/14.<br><BR>\n" );
document.write( "Since you want both things to happen (the events are connected by \"AND\"), you multiply the probabilities.<br><BR>\n" );
document.write( "P(geology first AND chemistry second) = (5/15)(3/14) = (1/3)(3/14) = 1/14<br><BR>\n" );
document.write( "Solve the others the same way:<br><BR>\n" );
document.write( "P(biology first AND physics second) = (?)(?) = ...<br><BR>\n" );
document.write( "P(physics first and physics second) = (?)(?) = ...<br>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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