You are put in a booth from which you cannot see out, but the audience can see in. There are three identical switches in front of you; there is nothing else in the booth. Two of the switches work clear light bulbs displayed on a stand on the main stage of the studio, the third works a green bulb on the same stand. All of the switches are in the "off" position when you enter the booth. After you have flipped whichever switches you decide to flip, you will have to leave the booth to see which bulbs are lit. Once you have left the booth, you will not be allowed to reenter it. Your challenge is to determine which switch controls the green bulb, and you have two minutes to do so. Of course, you could just guess which switch controls the green bulb, which would give you a one in three chance of winning the challenge. But there is a way to be 100 percent certain that you will win. What is it?
Turn two switches on for one minute, then turn one of them off and leave the booth. * If the green bulb is on, then the switch that is still on is the one that controls the green bulb. * If the green bulb is off but hot to the touch, then the switch that you just turned off is the one that controls the green bulb. * If the green bulb is off and cool to the touch, then the switch that controls it is the one that was never turned on.
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