Question 588541
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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>
The probability that both of the first two switches are in the ON position is then<br>
(1/2)*(1/2) = 1/4<br>
ANSWER: 1/4<br>