The first human is guessing and has a 50/50 chance of surviving, while the other 9 are guaranteed to be saved. Hint: The human in the back can see all the hats in front of him or her, and there is a solution that will guarantee saving 9 of the 10 humans. How do you save as many lives as you can? If you're wrong, you get blown up, and the people you represent are turned into a mushroom farm. Starting with the person in the back, the aliens ask, "What color is the hat on your head?" Every other person can hear the answer, and if the person is right, he or she will live and 600 million people will be saved. You can't see your own hat, and the hat distribution is random-it could be all green hats or all purple hats, or 9 green and 1 purple, or any combination. Tomorrow, the ten humans will be lined up one behind the other in a dark room. While the room is completely pitch black, the aliens will place a hat on each person's head-a purple hat or a green hat. These humans are tasked with proving Earth is worthy of joining the intergalactic council of planets.
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