document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588541>Question 588541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each switch in a system of six switches can be either on or off. A power surge randomly resets the six switches. What is the probability that this random setting for the system is one in which the first two switches are both in the on position? </SPAN>\n" );
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document.write( "There are no requirements for the positions of the 3rd to 6th switches after the power surge.  The only requirements are that the first switch is in the ON position (probability 1/2) AND the second switch is in the ON position (probability 1/2).<br><BR>\n" );
document.write( "The probability that both of the first two switches are in the ON position is then<br><BR>\n" );
document.write( "(1/2)*(1/2) = 1/4<br><BR>\n" );
document.write( "ANSWER: 1/4<br><BR>\n" );
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