document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115376>Question 1115376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the probability that three random points on the circumference of a circle all lie on a semicircle. </SPAN>\n" );
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document.write( "If the degree arc measure between the first two points is x, then the measure of the arc where the third point can be is 360-x.<br><BR>\n" );
document.write( "Stated differently, the only place the third point can NOT be is on the arc of x degrees diametrically opposite the arc formed by the first two points.<br><BR>\n" );
document.write( "So as the measure of the arc formed by the first two points varies from 0 to 180 degrees, the probability that the third point will lie on the same semicircle as the first two points varies linearly from 1 to 1/2; that means the probability that the three points lie on a semicircle is 3/4.<br><BR>\n" );
document.write( "Answer: 3/4 </SPAN>\n" );
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