WHY DID THEY STAGE MANAGER PUT PASTE ON THE PRO RIDDLES WITH ANSWERS TO SOLVE - PUZZLES & BRAIN TEASERS

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Problem At The Pool Riddle

Hint:
She didn't have boy-ancy! (Buoyancy)
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Pronounced As One Letter

Hint:
An eye
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Promise Not To Freeze

Hint:
Refrigerator
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Put Them In Me

Hint:
A washing machine
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Protecting Our King

Hint:
Pawns.
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Protecting His Majesty And Queen

Hint:
He is a chess knight.
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Protect And Destroy

Hint:
White blood cell
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Put It In A Glove

Hint:
Hand
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Protecting The Earth Riddle

Hint:
The Mesosphere
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The Secret Santa Exchange

Hint: It's not as difficult as it seems. It's the number of ways the friends can form a circle divided by the number of ways the names can be drawn out of the hat.
1/10

For a group of n friends, there are n! (n factorial) ways to draw the names out of the hat. Since a circle does not have a beginning and end, choose one person as the beginning and end of the circle. There are now (n-1)! ways to distribute the remaining people around the circle. Thus the probability of forming a single circle is

(n-1)! / n!

Since n! = (n-1)! * n (for n > 1), this can be rewritten as

(n-1)! / (n*(n-1)!)

Factoring out the (n-1)! from the numerator and denominator leaves

1/n

as the probability.
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The Cheap Mp3 Player

Hint:
With only 6 tracks on the player:
The first chapter has been set to play first. The probability of the next 5 chapters playing in order is 1/5! = 1/120.

With the music on the player as well:
Seeing as I don't care about when the music plays, it doesn't change anything. The answer is still 1/120.
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Getting Put Into Shoes

Hint:
Feet
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Proposing To The Hamburger

Hint:
He gave her an onion ring
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A Professional Sniper Riddle

Hint:
He was being sniped with a BBgun.
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The Same Problem Riddle

Hint:
"We're in the same boat."
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