Clever Puzzles

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You are in a room that is completely bricked in on all four sides, including the ceiling and floor. You have nothing but a mirror and a wooden table in the room with you. How do you get out?
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Jacob and John are competing for the same girl. After years of battling, both decide to settle it by tossing a coin.
John produces a coin, but Jacob doesn’t happen to have one on him. Jacob is sure that the coin John has produced is loaded, i.e. it will come up with heads more than 50% of the time on average.
How do Jacob arrange a fair contest, based purely on chance and not skill, by flipping this coin?
Variation: (COIN BIASING) Jacob and John are competing for the same girl, and decide to settle it with a coin toss. John has known the girl longer than Jacob have, so Jacob agree that it is fair for him to have a chance of winning equal to P, where P > 0.5. However, Jacob only have a fair coin. How can you conduct this contest such that the biased probability is manifested? What is the average number of coin flips needed to determine a winner?
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Jacob is hanging out on a heavily forested island that is really narrow: it is a narrow strip of land that is Eight miles long. One End of the strip is A, and the other end B. A fire has started at A and the fire is moving toward B at the rate of 1 mph. at the same time, there is a 2 mph wind blowing in the direction from A toward B. what can Jacob do to save himself. Assume that Jacob can’t swim and there are no boats, jetcopters, teleportation devices, etc.. (if he does nothing, Jacob will be toast after at most 8 hours, since 8 miles / 1 mph = 8 hours)
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You are sleeping and you are hungry, you have Bread, butter, Jam and cheese in the fridge. What will you open first?
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