I AM A KIND OF COAT THAT CAN BE ONLY BE PUT ON WHEN WET RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

Yes, you should accept the bet. Simply because the odds of picking two relatively prime numbers are 60%. It is a win-win situation for you if you keep playing. Did you answer this riddle correctly?
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This problem can be best solved using the pigeonhole principle.

The argument will go like this:
Assume that all the non-bald people in NYC have different number of hairs on their head. The population is about 9 million and let us assume that there are 8 million among them who are not bald.

Now, those 8 million people need to have different number of hairs. On an average, people have just 100, 000 hairs on their head. If we keep on assuming that there is someone with just one hair, someone with two, someone with three and so on, there will be 7, 900, 00 other people left who will have more than 100, 000 hairs on their head and need different number of hairs.

Now, as per this assumption, if we keep increasing one hair for each person, to make everybody hair different in numbers, we will come across someone with 8, 000, 000 hairs. But that is practically impossible (even 1, 000, 000 is impossible). Thus there must be two people who are having same number of hairs. Did you answer this riddle correctly?
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A headbanger! Did you answer this riddle correctly?
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Because they both must be peeled Did you answer this riddle correctly?
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When it's a knockout! Did you answer this riddle correctly?
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Death Did you answer this riddle correctly?
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First fill the 8 liters jug complete - 4, 8, 0
Fill the 5 liters jug with 8 liters jug - 4, 3, 5
Pour back the beer from 5 liters jug to 12 liters jug - 9, 3, 0
Pour the 3 liters from 8 liters jug to 5 liters jug - 9, 0, 3
Fill the 8 liters jug completely from 12 liters jug - 1, 8, 3
Fill the 5 liters jug from the 8 liters jug - 1, 6, 5
Pour the entire 5 liters jug back in 12 liters jug - 6, 6, 0

You have successfully split the beer into two equal parts. Did you answer this riddle correctly?
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Alphabet Did you answer this riddle correctly?
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Dung. Did you answer this riddle correctly?
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Put It In The Freezer! Did you answer this riddle correctly?
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Snow. Did you answer this riddle correctly?
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Because they're both cracked! Did you answer this riddle correctly?
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So they could hide in the tomatoes. Did you answer this riddle correctly?
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If it's not your cup of tea. Did you answer this riddle correctly?
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A scent or smell. A scent is important to both humans and animals and both search for scents (for different reasons). A scent travels through the air to benefit humans and animals, again, for different reasons. Did you answer this riddle correctly?
YES  NO